scholarly journals The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy

2015 ◽  
Vol 48 (4) ◽  
pp. 045208 ◽  
Author(s):  
Luis Carlos García del Molino ◽  
Khashayar Pakdaman ◽  
Jonathan Touboul
Keyword(s):  
Circular Law ◽  
Singular Interaction ◽  
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.

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

Normalization and Probability Densities for Wavefunctions of Quantum Fieldtheoretic Energy Equations

1989 ◽  
Vol 44 (4) ◽  
pp. 262-268 ◽  
Author(s):  
H. Stumpf
Keyword(s):  
Quantum Theory ◽  
Operator Algebra ◽  
Field Operator ◽  
Positive Definite ◽  
Quantum Fields ◽  
Normalization Condition ◽  
State Spaces ◽  
Probability Densities ◽  
Renormalized Energy ◽  
Energy Equations

Abstract Quantum fields can be characterized by the set of transition amplitudes {〈0|π(A)|a〉V̶|a,〉∈V} where π(A) is a representation of the field operator algebra in V. This set has to satisfy renormalized energy equations and the elements of this set are called wavefunctions. However, these wavefunctions are not identical with wavefunctions of conventional quantum theory in Fockspace. Thus a theoret­ical interpretation is needed. In the present paper, by means of some theorems a method of normalization and construction of probability densities for these wavefunctions is given, which differs from the method of derivation of the normalization condition for Bethe-Salpeter amplitudes. The method can be applied both to nonrelativistic and relativistic fields with positive definite or indefinite state spaces, provided the renormalized energy equations possess finite solutions.

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