Quarks and a unified theory of Nature fundamental forces

Quarks were introduced 50 years ago opening the road towards our understanding of the elementary constituents of matter and their fundamental interactions. Since then, a spectacular progress has been made with important discoveries that led to the establishment of the Standard Theory that describes accurately the basic constituents of the observable matter, namely quarks and leptons, interacting with the exchange of three fundamental forces, the weak, electromagnetic and strong force. Particle physics is now entering a new era driven by the quest of understanding of the composition of our Universe such as the unobservable (dark) matter, the hierarchy of masses and forces, the unification of all fundamental interactions with gravity in a consistent quantum framework, and several other important questions. A candidate theory providing answers to many of these questions is string theory that replaces the notion of point particles by extended objects, such as closed and open strings. In this short note, I will give a brief overview of string unification, describe in particular how quarks and leptons can emerge and discuss what are possible predictions for particle physics and cosmology that could test these ideas.

Infrared regime of SU(2) with one adjoint Dirac flavor

SU(2) gauge theory with one Dirac flavor in the adjoint representation is investigated on a lattice. Initial results for the gluonic and mesonic spectrum, static potential from Wilson and Polyakov loops, and the anomalous dimension of the fermionic condensate from the Dirac mode number are presented. The results found are not consistent with conventional confining behavior, pointing instead tentatively towards a theory lying within or very near the onset of the conformal window, with the anomalous dimension of the fermionic condensate in the range 0.9≲γ∗≲0.95. The implications of our work for building a viable theory of strongly interacting dynamics beyond the standard model are discussed.

Solution of the relativistic Schrödinger equation for the δ ′ -Function potential in one dimension using cutoff regularization

We study the relativistic version of the Schrödinger equation for a point particle in one dimension with the potential of the first derivative of the delta function. The momentum cutoff regularization is used to study the bound state and scattering states. The initial calculations show that the reciprocal of the bare coupling constant is ultraviolet divergent, and the resultant expression cannot be renormalized in the usual sense, where the divergent terms can just be omitted. Therefore, a general procedure has been developed to derive different physical properties of the system. The procedure is used first in the nonrelativistic case for the purpose of clarification and comparisons. For the relativistic case, the results show that this system behaves exactly like the delta function potential, which means that this system also shares features with quantum filed theories, like being asymptotically free. In addition, in the massless limit, it undergoes dimensional transmutation, and it possesses an infrared conformal fixed point. The comparison of the solution with the relativistic delta function potential solution shows evidence of universality.

Δ I = 1 / 2 rule for kaon decays derived from QCD infrared fixed point

This article gives details of our proposal to replace ordinary chiral SU(3)L×SU(3)R perturbation theory χPT3 by three-flavor chiral-scale perturbation theory χPTσ. In χPTσ, amplitudes are expanded at low energies and small u,d,s quark masses about an infrared fixed point αIR of three-flavor QCD. At αIR, the quark condensate ⟨q¯q⟩vac≠0 induces nine Nambu-Goldstone bosons: π,K,η, and a 0++ QCD dilaton σ. Physically, σ appears as the f0(500) resonance, a pole at a complex mass with real part ≲ mK. The ΔI=1/2 rule for nonleptonic K decays is then a consequence of χPTσ, with a KSσ coupling fixed by data for γγ→ππ and KS→γγ. We estimate RIR≈5 for the nonperturbative Drell-Yan ratio R=σ(e+e−→hadrons)/σ(e+e−→μ+μ−) at αIR and show that, in the many-color limit, σ/f0 becomes a narrow qq¯ state with planar-gluon corrections. Rules for the order of terms in χPTσ loop expansions are derived in Appendix A and extended in Appendix B to include inverse-power Li-Pagels singularities due to external operators. This relates to an observation that, for γγ channels, partial conservation of the dilatation current is not equivalent to σ-pole dominance.

Addendum to “Electroweak Sudakov effects in W, Z and γ production at large transverse momentum”

In this addendum to T. Becher and X. Garcia i Tormo, Phys. Rev. D 88, 013009 (2013), we give results for the electroweak Sudakov corrections in gauge-boson production at large transverse momentum pT at proton colliders. For the results to be easily usable, we provide a simple and accurate parametrization of the corrections as a function of pT and the center-of-mass energy s√. Additionally, we also discuss the dependence of the electroweak corrections on the rapidity of the produced boson and comment on the complications that arise in the photon-production case due to isolation requirements.

Standard model cross-over on the lattice

With the physical Higgs mass the standard model symmetry restoration phase transition is a smooth cross-over. We study the thermodynamics of the cross-over using numerical lattice Monte Carlo simulations of an effective SU(2)×U(1) gauge+Higgs theory, significantly improving on previously published results. We measure the Higgs field expectation value, thermodynamic quantities like pressure, energy density, speed of sound and heat capacity, and screening masses associated with the Higgs and Z fields. While the cross-over is smooth, it is very well defined with a width of only ∼5  GeV. We measure the cross-over temperature from the maximum of the susceptibility of the Higgs condensate, with the result Tc=159.5±1.5  GeV. Outside of the narrow cross-over region the perturbative results agree well with nonperturbative ones.

Nonperturbative estimate of the heavy quark momentum diffusion coefficient

We estimate the momentum diffusion coefficient of a heavy quark within a pure SU(3) plasma at a temperature of about 1.5Tc. Large-scale Monte Carlo simulations on a series of lattices extending up to 1923×48 permit us to carry out a continuum extrapolation of the so-called color-electric imaginary-time correlator. The extrapolated correlator is analyzed with the help of theoretically motivated models for the corresponding spectral function. Evidence for a nonzero transport coefficient is found and, incorporating systematic uncertainties reflecting model assumptions, we obtain κ=(1.8–3.4)T3. This implies that the “drag coefficient,” characterizing the time scale at which heavy quarks adjust to hydrodynamic flow, is η−1D=(1.8–3.4)(Tc/T)2(M/1.5  GeV)  fm/c, where M is the heavy quark kinetic mass. The results apply to bottom and, with somewhat larger systematic uncertainties, to charm quarks.

Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass

We present results on the nucleon scalar, axial, and tensor charges as well as on the momentum fraction, and the helicity and transversity moments. The pion momentum fraction is also presented. The computation of these key observables is carried out using lattice QCD simulations at a physical value of the pion mass. The evaluation is based on gauge configurations generated with two degenerate sea quarks of twisted mass fermions with a clover term. We investigate excited states contributions with the nucleon quantum numbers by analyzing three sink-source time separations. We find that, for the scalar charge, excited states contribute significantly and to a less degree to the nucleon momentum fraction and helicity moment. Our result for the nucleon axial charge agrees with the experimental value. Furthermore, we predict a value of 1.027(62) in the MS¯¯¯¯¯ scheme at 2 GeV for the isovector nucleon tensor charge directly at the physical point. The pion momentum fraction is found to be ⟨x⟩π±u−d=0.214(15)(+12−9) in the MS¯¯¯¯¯ at 2 GeV.

From quantum to classical dynamics: The relativistic O ( N ) model in the framework of the real-time functional renormalization group

We investigate the transition from unitary to dissipative dynamics in the relativistic O(N) vector model with the λ(φ2)2 interaction using the nonperturbative functional renormalization group in the real-time formalism. In thermal equilibrium, the theory is characterized by two scales, the interaction range for coherent scattering of particles and the mean free path determined by the rate of incoherent collisions with excitations in the thermal medium. Their competition determines the renormalization group flow and the effective dynamics of the model. Here we quantify the dynamic properties of the model in terms of the scale-dependent dynamic critical exponent z in the limit of large temperatures and in 2≤d≤4 spatial dimensions. We contrast our results to the behavior expected at vanishing temperature and address the question of the appropriate dynamic universality class for the given microscopic theory.

Pressure from the vacuum of confined spinor matter

Charged spinor matter field is quantized in a spatial region bounded by two parallel neutral plates. The most general set of boundary conditions ensuring the confinement of matter within the plates is considered. We study a response of the vacuum of the confined matter to the background uniform magnetic field which is directed orthogonally to the plates. It is proven that, in the case of a sufficiently strong magnetic field, the vacuum pressure onto the plates is positive and independent of the boundary condition, as well as of the distance between the plates.

Casimir effect with quantized charged spinor matter in background magnetic field

We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged spinor matter field confined between two parallel neutral plates; the magnetic field is directed orthogonally to the plates. The admissible set of boundary conditions at the plates is determined by the requirement that the Dirac Hamiltonian operator be self-adjoint. It is shown that, in the case of a sufficiently strong magnetic field and a sufficiently large separation of the plates, the generalized Casimir force is repulsive, being independent of the choice of a boundary condition, as well as of the distance between the plates. The detection of this effect seems to be feasible in the foreseeable future.

(O8, O8) contribution to B¯ → Xsγγ at O(αs)

In this analysis, we present the contribution associated with the chromomagnetic dipole operator O8 to the double differential decay width dΓ/(ds1ds2) for the inclusive process B¯→Xsγγ. The kinematical variables s1 and s2 are defined as si=(pb−qi)2/m2b, where pb, q1, q2 are the momenta of b quark and two photons. This contribution (taken at tree level) is of order αs, like the recently calculated QCD corrections to the contribution of the operator O7. In order to regulate possible collinear singularities of one of the photons with the strange quark, we introduce a nonzero mass ms for the strange quark. Our results are obtained for exact ms, which we interpret as a constituent mass being varied between 400 and 600 MeV. Numerically it turns out that the effect of the (O8, O8) contribution to the branching ratio of B¯→Xsγγ does not exceed +0.1% for any kinematically allowed value of our physical cutoff parameter c, confirming the expected suppression of this contribution relative to the QCD corrections to dΓ77/(ds1ds2).

Memoria del mundo clásico en Funes el Memorioso

El presente estudio tiene por objetivo comprobar la gravitación de determinados referentes de la cultura clásica en “Funes el memorioso". Estos referentes se incorporan estratégicamente en la versión definitiva del relato. Los elementos fundamentales son la articulación retórica y mnemotécnica, el latín como lengua de cultura y los libros que hacen posible su aprendizaje, el capítulo XIV del libro VII de la Historia natural de Plinio el Viejo y el inicio de la “Oda XXX" del Libro tercero, de Horacio. Estos elementos no operan sólo como fuentes sino que inciden los dos momentos básicos de la enunciación, en la construcción de la fábula, en la configuración de los personajes y en la organización del discurso. A la vez, proveen ciertas incitaciones en cuanto a la correlación de los contenidos y determinan la comprensión de la memoria por contraste a la del protagonista. La presencia de determinados referentes de la cultura clásica está relacionada con experiencias del propio Borges quien las transforma ficcionalmente y las pone en boca del narrador, para generar un pacto de lectura autobiográfico con efectos específicos de realce de lo fantástico.

Desigualdad social y procesos políticos : una perspectiva interdisciplinaria

Con una perspectiva interdisciplinaria, el presente trabajo enfoca la gravitaciónde la desigualdad social en los procesos políticos y la tensión que plantea al desenvolvimiento y preservación de los regímenes democráticos, en cuanto éstos se asientan siempre en un principio de igualdad. Se afirma que lo decisivo no es la existencia misma de las desigualdades sino el modo en que la sociedad elabora criterios de explicación y justificación de las mismas. Finalmente, se indaga el impacto del ahondamiento reciente de la desigualdad social en gran parte del mundo y su incidencia en los niveles y manifestaciones de la conflictividad social.

Infiltración y erosión

Esta monografía se enmarca en el manejo de los recursos hídricos en grandes redes de riego. En ella se describe el caso del río Mendoza, en la provincia homónima, el que fuera regulado en el año 2002. Este río nace en la Cordillera de los Andes, y presenta un importante arrastre de sólidos en suspensión, los que actualmente son retenidos en gran medida por el embalse Potrerillos. Las “aguas claras" que se erogan del embalse producen problemas erosivos, los que a su vez estarían ocasionando una mayor infiltración en los canales, y con ello un incremento en la recarga de acuíferos en ciertas zonas, así como problemas derivados del ascenso de la freática en otras. Se citan procesos ocurridos en otros distritos de riego frente a la regulación de los ríos, para concluir que el del río Mendoza es un caso susceptible de sufrir ciertos per-juicios, ya señalados en la Manifestación General de Impacto Ambiental del embalse Potrerillos, los que actualmente se están presentando en la red de riego. A partir de los estudios de sedimentología en el río Mendoza, se hace un análisis técnico de los fenómenos asociados al cambio de las características físicas del agua. Luego se describen los procesos erosivos, de acuerdo con la hidráulica clásica. Se define la Eficiencia de conducción (Ec), la infiltración en canales y su importancia en distintos distritos de riego, para luego mencionar los estudios realizados en el área del río Mendoza. Se analiza el desarrollo espacial que ha tenido el oasis, la escasa programación que tuvo su traza y la antigüedad de la misma. La descripción de los suelos permite concluir acerca de la importancia de su estructura y del papel que juegan las porciones finas, aún en minoría, que integran las distintas clases texturales con respecto a la Ec. Se describen los criterios con que se distribuye el agua en Mendoza, analizándose los caudales distribuidos actualmente, para relacionarlos con los niveles freáticos. Se mencionan además distintas acciones encaradas por la provincia para mitigar los efectos de las aguas claras. El análisis de los métodos utilizados para medir la Ec, permite apreciar el estado de la ciencia al respecto. Un análisis de las ventajas y de las desventajas de los distintos métodos, y de los resultados que con ellos se obtienen, permite concluir que el método de entradas y salidas es el que mejor se adapta en Mendoza, incluyendo además aspectos metodológicos de la medición. También se concluye en que la Ec. está insuficientemente evaluada; las fracciones finas de los suelos en muchos casos gravitan más que la textura frente a la Ec; por ello, se considera que el estudio de la Ec en las distintas áreas de manejo es necesario para entender los procesos de revenición y recarga de acuíferos, y que las pérdidas administrativas pueden gravitar más que la Ec. Se recomienda continuar con los trabajos de evaluación de Ec, al ser necesarios para todas las actividades en la cuenca; se desaconseja en este río el ajuste de modelos de predicción de Ec; las características de los suelos obligan a interpretar y aplicar con criterio la bibliografía internacional, pero aún así no se pueden hacer generalizaciones acerca de de la Ec en Mendoza.