Finite temperature contributions to the renormalized energy-momentum tensor for an arbitrary curved space-time

1988 ◽  
Vol 38 (2) ◽  
pp. 121-128 ◽  
Author(s):  
I. K. Kulikov ◽  
P. I. Pronin
Keyword(s):  
Finite Temperature ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Space Time ◽  
Curved Space ◽  
Renormalized Energy

Renormalized energy-momentum tensor of λ Φ4 theory in curved space-time

Pramana ◽  
2003 ◽  
Vol 60 (6) ◽  
pp. 1161-1169
Author(s):  
K. G. Arun ◽  
Minu Joy ◽  
V. C. Kuriakose
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Space Time ◽  
Curved Space ◽  
Renormalized Energy

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.

MOMENTUM-SUBTRACTION RENORMALIZATION TECHNIQUES IN CURVED SPACE-TIME

1987 ◽  
Vol 02 (05) ◽  
pp. 1549-1565
Author(s):  
OMAR FODA
Keyword(s):  
Free Field ◽  
Momentum Tensor ◽  
Space Time ◽  
Quantum Field Theories ◽  
Massive Scalar Field ◽  
Curved Space ◽  
Asymptotically Flat ◽  
Normal Product ◽  
Renormalized Energy ◽  
Background Fields

Momentum-subtraction techniques, specifically BPHZ and Zimmermann’s Normal Product algorithm, are introduced as useful tools in the study of quantum field theories in the presence of background fields. In a model of a self-interacting massive scalar field, conformally coupled to a general asymptotically-flat curved space-time with a trivial topology, momentum-subtractions are shown to respect invariance under general coordinate transformations. As an illustration, general expressions for the trace anomalies are derived, and checked by explicit evaluation of the purely gravitational contributions in the free field theory limit. Furthermore, the trace of the renormalized energy-momentum tensor is shown to vanish at the Gell-Mann Low eigenvalue as it should.

A MAPLE Package for Energy-Momentum Tensor Assesstment in Curved Space-Time

2010 ◽  
Author(s):  
Gabriel Murariu ◽  
Mirela Praisler ◽  
Angelos Angelopoulos ◽  
Takis Fildisis
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Space Time ◽  
Curved Space ◽  
Maple Package

Proof of the uniqueness of the electromagnetic energy momentum tensor

1969 ◽  
Vol 66 (2) ◽  
pp. 437-438 ◽  
Author(s):  
C. D. Collinson
Keyword(s):  
General Relativity ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Space Time ◽  
Electromagnetic Energy ◽  
Curved Space

AbstractAn alternative to Fock's proof of the uniqueness of the electromagnetic energy momentum tensor is presented. The proof is four-dimensional and is applicable in the curved space-time of general relativity.

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