Energy-momentum tensor of a QED-plasma at finite temperature and density

1985 ◽  
Vol 159 (2) ◽  
pp. 482
Keyword(s):  
Finite Temperature ◽  
Energy Momentum Tensor ◽  
Momentum Tensor

scholarly journals Energy-momentum tensor correlation function in Nf = 2 + 1 full QCD at finite temperature

2018 ◽  
Vol 175 ◽  
pp. 07013 ◽  
Author(s):  
Yusuke Taniguchi ◽  
Shinji Ejiri ◽  
Kazuyuki Kanaya ◽  
Masakiyo Kitazawa ◽  
Asobu Suzuki ◽  
...  
Keyword(s):  
Correlation Function ◽  
Finite Temperature ◽  
Linear Response ◽  
Quark Mass ◽  
Energy Momentum Tensor ◽  
Gradient Flow ◽  
Momentum Tensor ◽  
Entropy Density ◽  
Tensor Correlation ◽  
Renormalized Energy

We measure correlation functions of the nonperturbatively renormalized energy-momentum tensor in Nf = 2 + 1 full QCD at finite temperature by applying the gradient flow method both to the gauge and quark fields. Our main interest is to study the conservation law of the energy-momentum tensor and to test whether the linear response relation is properly realized for the entropy density. By using the linear response relation we calculate the specific heat from the correlation function. We adopt the nonperturba-tively improved Wilson fermion and Iwasaki gauge action at a fine lattice spacing = 0:07 fm. In this paper the temperature is limited to a single value T ≃ 232 MeV. The u, d quark mass is rather heavy with mπ=mρ ≃ 0:63 while the s quark mass is set to approximately its physical value.

scholarly journals Spin-1/2 Particles in Phase Space: Casimir Effect and Stefan-Boltzmann Law at Finite Temperature

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
R. G. G. Amorim ◽  
S. C. Ulhoa ◽  
J. S. da Cruz Filho ◽  
A. F. Santos ◽  
F. C. Khanna
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Finite Temperature ◽  
Energy Momentum Tensor ◽  
Casimir Effect ◽  
Momentum Tensor ◽  
Dirac Field ◽  
Standard Quantum ◽  
Thermo Field Dynamics ◽  
Boltzmann Law

The Dirac field, spin 1/2 particles, is investigated in phase space. The Dirac propagator is defined. The Thermo Field Dynamics (TFD) formalism is used to introduce finite temperature. The energy-momentum tensor is calculated at finite temperature. The Stefan-Boltzmann law is established, and the Casimir effect is calculated for the Dirac field in phase space at zero and finite temperature. A comparative analysis with these results in standard quantum mechanics space is realized.

THE GAUSSIAN APPROXIMATION FOR THE λφ4THEORY AT FINITE TEMPERATURE REVISITED

1991 ◽  
Vol 06 (26) ◽  
pp. 4579-4638 ◽  
Author(s):  
FRÉDÉRIQUE GRASSI ◽  
RÉMI HAKIM ◽  
HORACIO D. SIVAK
Keyword(s):  
Free Energy ◽  
Effective Mass ◽  
Effective Potential ◽  
Finite Temperature ◽  
Energy Momentum Tensor ◽  
Gaussian Approximation ◽  
Dimensional Regularization ◽  
Momentum Tensor ◽  
Effects Of Temperature ◽  
Physical Quantities

This paper is devoted to a systematic study of the λφ4 theory in the Gaussian approximation and at finite temperature. Although our results can be extended in a straightforward manner to other dimensions, only the case of four (1+3) dimensions is dealt with here. The Gaussian approximation is implemented via the moments of the field φ, a method somewhat simpler than the Gaussian functional approach. Furthermore, the effective potential (equivalently, the free energy) is calculated through the evaluation of the energy-momentum tensor of quasiparticles endowed with an effective mass. This effective mass generally obeys a gap equation, which is analyzed and solved. Besides the “precarious” solution of Stevenson or the “autonomous” one of Stevenson and Tarrach, which are recovered and rediscussed, several nonperturbative solutions, either exhibiting “spontaneous symmetry breaking” or not, are obtained with the help of systematic expansions of various physical quantities in powers of ε, the parameter occurring in the dimensional regularization scheme used throughout this paper. The effects of temperature are discussed in detail: phase transitions in the precarious or autonomous solutions occur. Other simple Gaussian (but not minimal) solutions for the effective potential (free energy) are also obtained.

SPONTANEOUS BREAKING OF SCALE INVARIANCE AND SUPERSYMMETRIC MODELS AT FINITE TEMPERATURE

2005 ◽  
Vol 20 (19) ◽  
pp. 4475-4483 ◽  
Author(s):  
Joshua Feinberg ◽  
Moshe Moshe ◽  
Michael Smolkin ◽  
Jean Zinn-Justin
Keyword(s):  
Finite Temperature ◽  
Phase Structure ◽  
Scale Invariance ◽  
Bound States ◽  
Energy Momentum Tensor ◽  
Goldstone Boson ◽  
Critical Value ◽  
Momentum Tensor ◽  
Spontaneous Breaking ◽  
Symmetric Model

The phase structure of a supersymmetric, vector O(N) symmetric model at Large N in three dimension is presented. At zero temperature it reveals spontaneous breaking of scale invariance with no explicit breaking. When the attracting force between the massive quanta, bosons and fermions, is tuned to a certain critical value one finds massless bound states, a Goldstone boson and a Goldstone fermion, associated with the spontaneous breaking of scale invariance (massless dilaton and dilatino). The effect of finite temperature on this phenomenon is elucidated. Expectation values of the energy momentum tensor are calculated at zero and finite temperatures. The phase structure is unveiled in the limit N → ∞. We point out that at a certain critical value of the coupling constant the trace of the energy momentum tensor vanishes at all temperatures.

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