scholarly journals Scale Transformations, the Energy-Momentum Tensor and the Equation of State

1989 ◽  
pp. 513-520
Author(s):  
P. Carruthers
Keyword(s):  
Equation Of State ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Scale Transformations

scholarly journals Equation of state in (2+1)-flavor QCD at physical point with improved Wilson fermion action using gradient flow

2018 ◽  
Vol 175 ◽  
pp. 07023 ◽  
Author(s):  
Kazuyuki Kanaya ◽  
Shinji Ejiri ◽  
Ryo Iwami ◽  
Masakiyo Kitazawa ◽  
Hiroshi Suzuki ◽  
...  
Keyword(s):  
Equation Of State ◽  
Quark Mass ◽  
Energy Momentum Tensor ◽  
Gradient Flow ◽  
Chiral Condensate ◽  
Momentum Tensor ◽  
Mass Point ◽  
Physical Point ◽  
Preliminary Results ◽  
Fermion Action

We study the energy-momentum tensor and the equation of state as well as the chiral condensate in (2+1)-flavor QCD at the physical point applying the method of Makino and Suzuki based on the gradient flow. We adopt a nonperturbatively O(a)- improved Wilson quark action and the renormalization group-improved Iwasaki gauge action. At Lattice 2016, we have presented our preliminary results of our study in (2+1)- flavor QCD at a heavy u; d quark mass point. We now extend the study to the physical point and perform finite-temperature simulations in the range T ≃ 155.544 MeV (Nt = 4-14 including odd Nt’s) at a ≃ 0:09 fm. We show our final results of the heavy QCD study and present some preliminary results obtained at the physical point so far.

scholarly journals Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow

2016 ◽  
Vol 94 (11) ◽  
Author(s):  
Masakiyo Kitazawa ◽  
Takumi Iritani ◽  
Masayuki Asakawa ◽  
Tetsuo Hatsuda ◽  
Hiroshi Suzuki
Keyword(s):  
Gauge Theory ◽  
Equation Of State ◽  
Energy Momentum Tensor ◽  
Gradient Flow ◽  
Momentum Tensor

Der aus dem Noetherschen Theorem folgende Energie-Impulstensor für das elektromagnetische Feld in Materie

1969 ◽  
Vol 24 (9) ◽  
pp. 1356-1361 ◽  
Author(s):  
U.E. Schröder
Keyword(s):  
Electromagnetic Field ◽  
Mechanical System ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Noether’S Theorem ◽  
Electromagnetic System ◽  
Noether's Theorem ◽  
Scale Transformations ◽  
Asymmetric Expression

Abstract The often discussed question concerning the energy-momentum tensor of the electromagnetic field in matter can be answered using NOETHER'S theorem. The separation of the electromagnetic system from the mechanical system introduced here leads to the asymmetric expression for the energy momentum tensor. From covariance with respect to scale transformations one further concludes that the trace of the energy-momentum tensor vanishes.

scholarly journals The energy-momentum tensor in lattice QCD and the Equation of State

2020 ◽  
Author(s):  
Michele Pepe ◽  
Mattia Dalla Brida ◽  
Leonardo Giusti
Keyword(s):  
Equation Of State ◽  
Lattice Qcd ◽  
Energy Momentum Tensor ◽  
Momentum Tensor

scholarly journals The models of transit cosmology along with observational constriction in f(Q,T) gravity

2021 ◽  
pp. 2150159
Author(s):  
Anirudh Pradhan ◽  
Archana Dixit
Keyword(s):  
Equation Of State ◽  
Deceleration Parameter ◽  
Transition Point ◽  
Energy Momentum Tensor ◽  
Cosmological Parameters ◽  
Momentum Tensor ◽  
Curve Analysis ◽  
Model Parameters ◽  
Data Sets ◽  
Light Curve Analysis

Xu et al. (Eur. Phys. J. C 79 (2019) 708) have anticipated the theory of Gravity. The modified study of [Formula: see text] is elucidated here as Cosmological model. In it the action holds a role as a capricious arbitrary function [Formula: see text]. At this juncture [Formula: see text] functions as non-metricity and for matter fluid, [Formula: see text] outlines as energy-momentum tensor. The function [Formula: see text] quadratic in [Formula: see text] and linear in [Formula: see text] as [Formula: see text] has been taken as our research in which [Formula: see text], [Formula: see text] and [Formula: see text] stand as model parameters, induced by [Formula: see text] gravity. A range of cosmological parameters have been attained by us such as in Universe viz. Hubble parameter [Formula: see text], Friedmann–Lemaitre–Robertson–Walker (FLRW), deceleration parameter [Formula: see text], etc. in terms of scale-factor and in terms of redshift [Formula: see text] by confining to the law of energy-conservation. The fittest values of the model parameters have been acquired by us as the observational constrictions on the model, by utilizing the accessible data sets like Hubble data sets [Formula: see text], union 2.1 compilation of SNe Ia data sets and Joint Light Curve Analysis (JLA) data sets. We have applied [Formula: see text]-test formula. The values of various observational parameters have been premeditated by us viz. [Formula: see text], [Formula: see text], [Formula: see text] and state finder parameters [Formula: see text]. They are absolutely very close to the standard cosmological models. It has also been observed by us that the deceleration parameter [Formula: see text] exhibits signature-flipping (transition) point within the range [Formula: see text]. It is observed that it changes its phase from decelerated to accelerated expanding universe with equation of state (EoS) [Formula: see text] for [Formula: see text].

scholarly journals Anisotropic Universe in f(G,T) Gravity

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
M. Farasat Shamir
Keyword(s):  
Equation Of State ◽  
Energy Density ◽  
Energy Momentum Tensor ◽  
State Parameter ◽  
Momentum Tensor ◽  
Anisotropic Universe ◽  
Field Equations ◽  
Equation Of State Parameter ◽  
Physical Quantities ◽  
Bonnet Term

This paper is devoted to investigating the recently introduced f(G,T) theory of gravity, where G is the Gauss-Bonnet term and T is the trace of the energy-momentum tensor. For this purpose, anisotropic background is chosen and a power law f(G,T) gravity model is used to find the exact solutions of field equations. In particular, a general solution is obtained which is further used to reconstruct some important solutions in cosmological contexts. The physical quantities like energy density, pressure, and equation of state parameter are calculated. A Starobinsky-like f2(T) model is proposed which is used to analyze the behavior of universe for different values of equation of state parameter. It is concluded that presence of term T in the bivariate function f(G,T) may give many cosmologically important solutions of the field equations.

scholarly journals Dynamic wormhole geometries in hybrid metric-Palatini gravity

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Mahdi Kord Zangeneh ◽  
Francisco S. N. Lobo
Keyword(s):  
Scalar Field ◽  
Equation Of State ◽  
Shape Function ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Time Dependent ◽  
Energy Conditions ◽  
Tensor Representation ◽  
Traversable Wormhole ◽  
Barotropic Equation

AbstractIn this work, we analyse the evolution of time-dependent traversable wormhole geometries in a Friedmann–Lemaître–Robertson–Walker background in the context of the scalar–tensor representation of hybrid metric-Palatini gravity. We deduce the energy–momentum profile of the matter threading the wormhole spacetime in terms of the background quantities, the scalar field, the scale factor and the shape function, and find specific wormhole solutions by considering a barotropic equation of state for the background matter. We find that particular cases satisfy the null and weak energy conditions for all times. In addition to the barotropic equation of state, we also explore a specific evolving wormhole spacetime, by imposing a traceless energy–momentum tensor for the matter threading the wormhole and find that this geometry also satisfies the null and weak energy conditions at all times.

CASIMIR EFFECT FOR THE ROBIN SURFACES IN STATIC ROBERTSON–WALKER SPACE–TIME

2011 ◽  
Vol 20 (02) ◽  
pp. 161-168 ◽  
Author(s):  
MOHAMMAD R. SETARE ◽  
M. DEHGHANI
Keyword(s):  
Scalar Field ◽  
Energy Momentum Tensor ◽  
Casimir Effect ◽  
Vacuum Expectation ◽  
Robin Boundary Condition ◽  
Momentum Tensor ◽  
Space Time ◽  
Conformally Invariant ◽  
Time Space ◽  
Robin Boundary

We investigate the energy–momentum tensor for a massless conformally coupled scalar field in the region between two curved surfaces in k = -1 static Robertson–Walker space–time. We assume that the scalar field satisfies the Robin boundary condition on the surfaces. Robertson–Walker space–time space is conformally related to Rindler space; as a result we can obtain vacuum expectation values of the energy–momentum tensor for a conformally invariant field in Robertson–Walker space–time space from the corresponding Rindler counterpart by the conformal transformation.

scholarly journals Cutoff AdS3 versus $$ T\overline{T} $$ CFT2 in the large central charge sector: correlators of energy-momentum tensor

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yi Li ◽  
Yang Zhou
Keyword(s):  
Field Theory ◽  
Euclidean Plane ◽  
Energy Momentum Tensor ◽  
Central Charge ◽  
Momentum Tensor ◽  
Two Dimensional ◽  
Conformal Field ◽  
Operator Identity ◽  
Pure Gravity ◽  
Charge Sector

Abstract In this article we probe the proposed holographic duality between $$ T\overline{T} $$ T T ¯ deformed two dimensional conformal field theory and the gravity theory of AdS3 with a Dirichlet cutoff by computing correlators of energy-momentum tensor. We focus on the large central charge sector of the $$ T\overline{T} $$ T T ¯ CFT in a Euclidean plane and a sphere, and compute the correlators of energy-momentum tensor using an operator identity promoted from the classical trace relation. The result agrees with a computation of classical pure gravity in Euclidean AdS3 with the corresponding cutoff surface, given a holographic dictionary which identifies gravity parameters with $$ T\overline{T} $$ T T ¯ CFT parameters.

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