Cutkosky rules and decay rates at finite temperature

1986 ◽  
Vol 64 (5) ◽  
pp. 602-605
Author(s):  
R. L. Kobes

In this paper we outline some recent results concerning the generalization of the Cutkosky or cutting rules to include temperature effects. Differences between these rules and those at zero temperature are illustrated by the correspondence between decay rates and imaginary parts of self-energy graphs.

1990 ◽  
Vol 05 (26) ◽  
pp. 2115-2125
Author(s):  
ROSE P. IGNATIUS ◽  
K. P. SATHEESH ◽  
V. C. KURIAKOSE ◽  
K. BABU JOSEPH

The Gaussian effective potential for the supersymmetric Liouville model is computed both at zero temperature and at a finite temperature. It is noted that the supersymmetric Liouville theory, just like the ordinary Liouville model, does not possess a translationally invariant ground state. The broken translational symmetry is not restored by temperature effects. The supersymmetric Liouville theory is also non-trivial.


1996 ◽  
Vol 74 (3-4) ◽  
pp. 159-171
Author(s):  
C. Jiang ◽  
J. P. Carbotte

We present a generalized, real frequency axis, Eliashberg formulation for the change in phonon self energy on entering the superconducting state which is valid for a solid with layered anisotropy. For simplicity, we assume free electron isotropic propagation in the planes with a hopping probability from plane to plane and cylindrical symmetry. Numerical results are given, at zero temperature, for different amounts of anisotropy and coupling strengths. Finite temperature and impurity effects are also considered.


2018 ◽  
Vol 32 (15) ◽  
pp. 1850190 ◽  
Author(s):  
Perkins Jon Ong ◽  
Danilo M. Yanga

The damping of spin waves in high-T[Formula: see text] superconductors is investigated in this paper. We use the spin polaron formulation in the finite temperature (Matsubara) Green’s function method in a representation, where holes are described as spinless fermions (holons) and spins as normal bosons characterized by the hard-core bosonic operators in accordance with the Holstein–Primakoff transformation. The interaction of holes with spin waves is then described by a Hamiltonian, which resembles the conventional polaron problem and came to be known as the spin polaron Hamiltonian. The rate of the damping of spin waves is then obtained from the self-energy term of the spin wave Green’s function at finite temperature. In the limit of zero temperature and low frequency, the spin wave damping was subsequently determined. We evaluated the same quantity by analytic continuation to get the zero temperature result.


2014 ◽  
Vol 29 (24) ◽  
pp. 1430049 ◽  
Author(s):  
Chanyong Park

We review interesting results achieved in recent studies on the holographic Lifshitz field theory. The holographic Lifshitz field theory at finite temperature is described by a Lifshitz black brane geometry. The holographic renormalization together with the regularity of the background metric allows to reproduce thermodynamic quantities of the dual Lifshitz field theory where the Bekenstein–Hawking entropy appears as the renormalized thermal entropy. All results satisfy the desired black brane thermodynamics. In addition, hydrodynamic properties are further reviewed in which the holographic retarded Green functions of the current and momentum operators are studied. In a nonrelativistic Lifshitz field theory, intriguingly, there exists a massive quasinormal mode at finite temperature whose effective mass is linearly proportional to temperature. Even at zero temperature and in the nonzero momentum limit, a quasinormal mode still remains unlike the dual relativistic field theory. Finally, we account for how adding impurity modifies the electric property of the nonrelativistic Lifshitz theory.


1999 ◽  
Vol 13 (28) ◽  
pp. 3357-3367 ◽  
Author(s):  
A. REBEI ◽  
W. N. G. HITCHON

At finite temperature, a Fermi gas can have states that simultaneously hold a particle and a hole with a finite probability. This gives rise to a new set of diagrams that are absent at zero temperature. The so called "anomalous" diagram is just one of the new diagrams. We have already studied the contribution of these new diagrams to the thermodynamic potential (Phys. Lett.A224, 127 (1996)). Here we continue that work and calculate their effect on the specific heat. We will also calculate the finite temperature contribution of the ring diagrams. We conclude that the ln T behavior of the specific heat due to exchange gets canceled by the new contribution of the new diagrams, and that screening is not essential to resolve this anomaly.


2016 ◽  
Vol 93 (3) ◽  
Author(s):  
Lorenzo Gori ◽  
Thomas Barthel ◽  
Avinash Kumar ◽  
Eleonora Lucioni ◽  
Luca Tanzi ◽  
...  

2016 ◽  
Vol 93 (5) ◽  
Author(s):  
Juho Lankinen ◽  
Henri Lyyra ◽  
Boris Sokolov ◽  
Jose Teittinen ◽  
Babak Ziaei ◽  
...  

2018 ◽  
Vol 175 ◽  
pp. 07045
Author(s):  
Bastian B. Brandt ◽  
Anthony Francis ◽  
Harvey B. Meyer ◽  
Daniel Robaina ◽  
Kai Zapp

We extend our previous studies [PhysRevD.90.054509, PhysRevD.92.094510] of the pion quasiparticle in the low-temperature phase of two-flavor QCD with support from chiral effective theory. This includes the analysis performed on a finite temperature ensemble of size 20 × 643 at T ≈ 151MeV and a lighter zero-temperature pion mass mπ ≈ 185 MeV. Furthermore, we investigate the Gell-Mann–Oakes-Renner relation at finite temperature and the Dey-Eletsky-Ioffe mixing theorem at finite quark mass.


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