Elétrons fortemente correlacionados na vizinhança de uma transição de fase quântica

The aim of this work is to derive theWard Identity for the low energy effective theory of a fermionic system in the presence of a hyperbolic Fermi surface coupled with a U(1) gauge field in 2+1 dimensions. These identities are important because they establish requirements for the theory to be gauge invariant. We will see that the identity associated Ward Identity (WI) of the model is not preserved at 1-loop order. This feature signalizes the presence of a quantum anomaly. In other words, a classical symmetry is broken dynamically by quantum fluctuations. Furthermore, we are considering that the system is close to a Quantum Phase Transitions and in vicinity of a Quantum Critical Point the fermionic excitations near the Fermi surface, decay through a Landau damping mechanism. All this ingredients need to be take explicitly to account and this leads us to calculate the vertex corrections as well as self energies effects, which in this way lead to one particle propagators which have a non-trivial frequency dependence

Avaliação do efeito do liraglutida nos tecidos muscular e adiposo e nos parâmetros bioquímicos em camundongos Swiss submetidos à dieta de cafeteria e a atividade física

Obesity is a chronic metabolic disease characterized by adipose tissue formation excess leading to an increase in body fat mass, of multifactorial origin, produced mainly by poor eating habits combined with a sedentary lifestyle. Data consider obesity as a serious disease that affects the world's population, ranking fifth in death rates. Faced with this situation, individuals seek, increasingly, means to lose weight with less physical effort and food. In 2009 and 2010 the drug liraglutide was lauched in order to reduce weight in individuals with diabetes mellitus type 2, thus avoiding the emergence of other diseases. The aggravating factor is that obese nondiabetic individuals are making use of this substance, even if its use is not authorized by ANVISA (Brazilian Health Surveillance Agency). Thus the objective of this research is to evaluate the effect of liraglutide for muscle or fat tissues and biochemical parameters in Swiss mice submitted to cafeteria diet and physical activity. The study was approved by the Ethics Committee on Animal Use - CEUA (nº003 Protocol / 2014). For this study 74 animals (Swiss mice) were used, divided as follows: in the initial phase of this study, we carried out a pilot study (n = 10) divided into a control group (PCON) (n = 5) and cafeteria group (PCAF) (n = 5), in order to evaluate a cafeteria diet which was both attractive to the animals and that could provide an increase in adipose tissue. After the induction of the diet, animals were euthanized and as a result, the animals in the PCAF group showed an intra-abdominal adiposity 0.74 ± 0.05 g, taken as the parameter for increasing fat in animals. Subsequently the study base was conducted for this research where animals were used (n = 64) divided into 2 groups: the Cafeteria Study Base Group (EBCAF) divided as follows: cafeteria + exercise + liraglutide (CEL) (n = 8), cafeteria + exercise + saline (CES) (n = 8), cafeteria + liraglutide (CL) (n = 8) and cafeteria + saline (CS) (n = 8). The Chow Study Base group (EBR) was divided into: exercise + liraglutide (EL) (n = 8), exercise + saline + (ES) (n = 8), liraglutide (L) (n = 8) and saline solution (SS) (n = 8). All animals went through the submission process to the cafeteria diet, followed by exercise protocol through swimming and treatment with the test substance intraperitoneally (200 mg / mL / kg). After the treatments, the animals were euthanized and had the following parameters evaluated: the muscle tissue mass, adipose tissue mass and biochemical parameters. It was observed that the processing done with the exercise-associated liraglutide reduced adipose tissue mass significantly (0.32 ± 0.05 g) compared to the saline group (0.53 ± 0.07 g). There were no changes in the muscle tissue of the group which was treated and exercised (1.39 ± 0.03 g) compared to the saline group (1.33 ± 0.03 g). Regarding biochemical parameters it was evident that there were changes in these parameters. Interesting to note that, although blood glucose values have been changed, the animals did not become diabetic. Thus, it appears that physical activity together with liraglutide is eficcient to the loss of intraabdominal adipose tissue and the maintenance of lean body mass thereby generating a satisfactory result in the pursuit of quality of life and disease prevention.

Avaliação do efeito do liraglutida nos tecidos muscular e adiposo e nos parâmetros bioquímicos em camundongos Swiss submetidos à dieta de cafeteria e a atividade física

Obesity is a chronic metabolic disease characterized by adipose tissue formation excess leading to an increase in body fat mass, of multifactorial origin, produced mainly by poor eating habits combined with a sedentary lifestyle. Data consider obesity as a serious disease that affects the world's population, ranking fifth in death rates. Faced with this situation, individuals seek, increasingly, means to lose weight with less physical effort and food. In 2009 and 2010 the drug liraglutide was lauched in order to reduce weight in individuals with diabetes mellitus type 2, thus avoiding the emergence of other diseases. The aggravating factor is that obese nondiabetic individuals are making use of this substance, even if its use is not authorized by ANVISA (Brazilian Health Surveillance Agency). Thus the objective of this research is to evaluate the effect of liraglutide for muscle or fat tissues and biochemical parameters in Swiss mice submitted to cafeteria diet and physical activity. The study was approved by the Ethics Committee on Animal Use - CEUA (nº003 Protocol / 2014). For this study 74 animals (Swiss mice) were used, divided as follows: in the initial phase of this study, we carried out a pilot study (n = 10) divided into a control group (PCON) (n = 5) and cafeteria group (PCAF) (n = 5), in order to evaluate a cafeteria diet which was both attractive to the animals and that could provide an increase in adipose tissue. After the induction of the diet, animals were euthanized and as a result, the animals in the PCAF group showed an intra-abdominal adiposity 0.74 ± 0.05 g, taken as the parameter for increasing fat in animals. Subsequently the study base was conducted for this research where animals were used (n = 64) divided into 2 groups: the Cafeteria Study Base Group (EBCAF) divided as follows: cafeteria + exercise + liraglutide (CEL) (n = 8), cafeteria + exercise + saline (CES) (n = 8), cafeteria + liraglutide (CL) (n = 8) and cafeteria + saline (CS) (n = 8). The Chow Study Base group (EBR) was divided into: exercise + liraglutide (EL) (n = 8), exercise + saline + (ES) (n = 8), liraglutide (L) (n = 8) and saline solution (SS) (n = 8). All animals went through the submission process to the cafeteria diet, followed by exercise protocol through swimming and treatment with the test substance intraperitoneally (200 mg / mL / kg). After the treatments, the animals were euthanized and had the following parameters evaluated: the muscle tissue mass, adipose tissue mass and biochemical parameters. It was observed that the processing done with the exercise-associated liraglutide reduced adipose tissue mass significantly (0.32 ± 0.05 g) compared to the saline group (0.53 ± 0.07 g). There were no changes in the muscle tissue of the group which was treated and exercised (1.39 ± 0.03 g) compared to the saline group (1.33 ± 0.03 g). Regarding biochemical parameters it was evident that there were changes in these parameters. Interesting to note that, although blood glucose values have been changed, the animals did not become diabetic. Thus, it appears that physical activity together with liraglutide is eficcient to the loss of intraabdominal adipose tissue and the maintenance of lean body mass thereby generating a satisfactory result in the pursuit of quality of life and disease prevention.

Estudo da transição de fase da percolação através da entropia da informação

Various physical systems have dynamics that can be modeled by percolation processes. Percolation is used to study issues ranging from fluid diffusion through disordered media to fragmentation of a computer network caused by hacker attacks. A common feature of all of these systems is the presence of two non-coexistent regimes associated to certain properties of the system. For example: the disordered media can allow or not allow the flow of the fluid depending on its porosity. The change from one regime to another characterizes the percolation phase transition. The standard way of analyzing this transition uses the order parameter, a variable related to some characteristic of the system that exhibits zero value in one of the regimes and a nonzero value in the other. The proposal introduced in this thesis is that this phase transition can be investigated without the explicit use of the order parameter, but rather through the Shannon entropy. This entropy is a measure of the uncertainty degree in the information content of a probability distribution. The proposal is evaluated in the context of cluster formation in random graphs, and we apply the method to both classical percolation (Erd¨os- R´enyi) and explosive percolation. It is based in the computation of the entropy contained in the cluster size probability distribution and the results show that the transition critical point relates to the derivatives of the entropy. Furthermore, the difference between the smooth and abrupt aspects of the classical and explosive percolation transitions, respectively, is reinforced by the observation that the entropy has a maximum value in the classical transition critical point, while that correspondence does not occurs during the explosive percolation.

Estudo da transição de fase da percolação através da entropia da informação

Various physical systems have dynamics that can be modeled by percolation processes. Percolation is used to study issues ranging from fluid diffusion through disordered media to fragmentation of a computer network caused by hacker attacks. A common feature of all of these systems is the presence of two non-coexistent regimes associated to certain properties of the system. For example: the disordered media can allow or not allow the flow of the fluid depending on its porosity. The change from one regime to another characterizes the percolation phase transition. The standard way of analyzing this transition uses the order parameter, a variable related to some characteristic of the system that exhibits zero value in one of the regimes and a nonzero value in the other. The proposal introduced in this thesis is that this phase transition can be investigated without the explicit use of the order parameter, but rather through the Shannon entropy. This entropy is a measure of the uncertainty degree in the information content of a probability distribution. The proposal is evaluated in the context of cluster formation in random graphs, and we apply the method to both classical percolation (Erd¨os- R´enyi) and explosive percolation. It is based in the computation of the entropy contained in the cluster size probability distribution and the results show that the transition critical point relates to the derivatives of the entropy. Furthermore, the difference between the smooth and abrupt aspects of the classical and explosive percolation transitions, respectively, is reinforced by the observation that the entropy has a maximum value in the classical transition critical point, while that correspondence does not occurs during the explosive percolation.