Vacuum fluctuation effects on the ρ-meson mass and the one-ρ exchange potential at finite temperature and density

1997 ◽  
Vol 56 (6) ◽  
pp. 3336-3345 ◽  
Author(s):  
Yi-Jun Zhang ◽  
Song Gao ◽  
Ru-Keng Su
Keyword(s):  
Finite Temperature ◽  
Exchange Potential ◽  
Meson Mass ◽  
Vacuum Fluctuation ◽  
Fluctuation Effects ◽  
The One

Ring-diagram summations in the finite-temperature effective potential

1993 ◽  
Vol 71 (5-6) ◽  
pp. 227-236 ◽  
Author(s):  
M. E. Carrington
Keyword(s):  
Phase Transition ◽  
Standard Model ◽  
Effective Potential ◽  
Finite Temperature ◽  
Electroweak Phase Transition ◽  
First Order ◽  
Ring Diagram ◽  
First Order Phase Transition ◽  
The Standard Model ◽  
The One

There has been much recent interest in the finite-temperature effective potential of the standard model in the context of the electroweak phase transition. We review the calculation of the effective potential with particular emphasis on the validity of the expansions that are used. The presence of a term that is cubic in the Higgs condensate in the one-loop effective potential appears to indicate a first-order electroweak phase transition. However, in the high-temperature regime, the infrared singularities inherent in massless models produce cubic terms that are of the same order in the coupling. In this paper, we discuss the inclusion of an infinite set of these terms via the ring-diagram summation, and show that the standard model has a first-order phase transition in the weak coupling expansion.

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.

scholarly journals RETARDATION TERMS IN THE ONE-GLUON EXCHANGE POTENTIAL

2001 ◽  
Vol 16 (22) ◽  
pp. 3745-3753 ◽  
Author(s):  
JUN-CHEN SU ◽  
JIAN-XING CHEN
Keyword(s):  
Bound States ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Relativistic Equation ◽  
Previous Literature ◽  
Exchange Potential ◽  
Gluon Exchange ◽  
Mass Frame ◽  
The One ◽  
Exchange Kernel

It is pointed out that the retardation terms given in the original Fermi–Breit potential vanish in the center-of-mass frame. The retarded one-gluon exchange potential is rederived in this paper from the three-dimensional one-gluon exchange kernel which appears in the exact three-dimensional relativistic equation for quark–antiquark bound states. The retardation part of the potential given in the approximation of order p2/m2 is shown to be different from those derived in the previous literature. This part is off-shell and no longer vanishes in the center-of-mass frame.

PHASE TRANSITIONS IN THE ABELIAN HIGGS MODEL AT FINITE DENSITIES

1991 ◽  
Vol 06 (23) ◽  
pp. 4063-4076 ◽  
Author(s):  
V.J. PETER ◽  
M. SABIR
Keyword(s):  
Phase Transitions ◽  
Density Dependence ◽  
Gauge Invariance ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Higgs Model ◽  
Coupling Constants ◽  
Abelian Higgs Model ◽  
Multiple Phase ◽  
The One

We study the U(1)-invariant Abelian Higgs model at a finite temperature and a finite chemical potential, at the one-loop level of approximation, and show the existence of chemical-potential-induced multiple-phase transitions at finite temperatures. The temperature and density dependence of the coupling constants is also analyzed. The gauge invariance of the results obtained is demonstrated.

ZETA-FUNCTION REGULARIZATION APPROACH TO FINITE TEMPERATURE EFFECTS IN KALUZA-KLEIN SPACE-TIMES

1992 ◽  
Vol 07 (29) ◽  
pp. 2669-2683 ◽  
Author(s):  
ANDREI A. BYTSENKO ◽  
LUCIANO VANZO ◽  
SERGIO ZERBINI
Keyword(s):  
Zeta Function ◽  
Finite Temperature ◽  
Space Time ◽  
Discrete Torsion ◽  
Minkowski Space Time ◽  
Dimensional Minkowski Space ◽  
High Temperature Expansion ◽  
Kernel Approach ◽  
The One ◽  
Kaluza Klein

In the framework of heat-kernel approach to zeta-function regularization, the one-loop effective potential at finite temperature for scalar and spinor fields on Kaluza-Klein space-time of the form [Formula: see text], where MP is p-dimensional Minkowski space-time is evaluated. In particular, when the compact manifold is [Formula: see text], the Selberg trace formula associated with discrete torsion-free group Γ of the n-dimensional Lobachevsky space Hn is used. An explicit representation for the thermodynamic potential valid for arbitrary temperature is found. As a result a complete high temperature expansion is presented and the roles of zero modes and topological contributions is discussed.

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