scholarly journals Path-integral approach to scale anomaly at finite temperature

2015 ◽  
Vol 92 (8) ◽  
Author(s):  
Chris L. Lin ◽  
Carlos R. Ordóñez
Keyword(s):  
Path Integral ◽  
Finite Temperature ◽  
Integral Approach ◽  
Path Integral Approach

Path-integral approach to anomalies at finite temperature

1990 ◽  
Vol 68 (1) ◽  
pp. 96-103 ◽  
Author(s):  
T. F. Treml
Keyword(s):  
Vector Field ◽  
Path Integral ◽  
Finite Temperature ◽  
Dimensional Regularization ◽  
Flat Space ◽  
Integral Approach ◽  
Chiral Anomaly ◽  
Conformal Anomaly ◽  
Path Integral Approach ◽  
The One

The non-Abelian chiral anomaly for a fermion interacting with an external vector field in any even dimension and the conformal anomaly, in the limit of flat space–time, for a self-interacting scalar field are shown to be independent of temperature using a simple path-integral approach that employs dimensional regularization. The chiral anomaly is used as an example to show that the methods used to study the dimensionally regularized anomaly at finite temperature are readily transferable to the case of ζ-function regularization. The conformal anomaly in (super) string theory at finite temperature is briefly discussed in the light of known results. Some subtleties concerning the use of infrared cutoffs in a dimensionally regularized approach to the computation of the one-loop effective action at finite temperature are considered in an appendix.

Isovector plus isoscalar neutron–proton pairing effect on nuclear statistical quantities using a path integral approach

2018 ◽  
Vol 27 (06) ◽  
pp. 1850054
Author(s):  
D. Mokhtari ◽  
N. H. Allal ◽  
M. Fellah
Keyword(s):  
Heat Capacity ◽  
Path Integral ◽  
Finite Temperature ◽  
Numerical Study ◽  
Integral Approach ◽  
Critical Temperatures ◽  
Path Integral Approach ◽  
Level Model ◽  
Proton Pairing ◽  
Gap Parameter

Gap equations at finite temperature are established in the isovector plus isoscalar pairing case [Formula: see text] using a path integral approach. Expressions of the various statistical quantities, i.e., the energy, the entropy and the heat capacity are then deduced. It is shown that they do generalize the ones obtained in the pure isovector ([Formula: see text]) pairing case, as well as those obtained within the conventional finite temperature Bardeen–Cooper–Schrieffer (FTBCS) theory in the pairing between like-particles case. A numerical study is then performed using the schematic one-level model. It is shown that the isoscalar n–p gap parameter [Formula: see text] behaves as a function of the temperature, like its homologues [Formula: see text] and [Formula: see text] in the conventional FTBCS approach. As for the three other gap parameters, i.e., [Formula: see text], [Formula: see text] and [Formula: see text], their behaviors are clearly modified when the isoscalar pairing is taken into account. In particular, one observes a shift of the values of the critical temperatures. Dealing with the statistical quantities, the inclusion of the isoscalar pairing, in addition to the isovector one, leads to a lowering of the energy as well as a change of the shapes of the curves of the energy, the entropy and the heat capacity as a function of the temperature.

The Path Integral Approach for the Nuclear Collective Motion

1983 ◽  
Vol 27 (2) ◽  
pp. 72-76 ◽  
Author(s):  
D Galetti ◽  
S S Mizrahi ◽  
B M Pimentel
Keyword(s):  
Path Integral ◽  
Collective Motion ◽  
Integral Approach ◽  
Path Integral Approach
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