scholarly journals Energy momentum tensor for translation invariant renormalizable noncommutative field theory

2018 ◽  
Vol 133 (12) ◽  
Author(s):  
Ezinvi Baloïtcha ◽  
Vincent Lahoche ◽  
Dine Ousmane Samary
Keyword(s):  
Field Theory ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Noncommutative Field Theory ◽  
Translation Invariant

scholarly journals SPACETIME NONCOMMUTATIVITY WITH A BIFERMIONIC PARAMETER

2008 ◽  
Vol 23 (12) ◽  
pp. 887-893 ◽  
Author(s):  
D. M. GITMAN ◽  
D. V. VASSILEVICH
Keyword(s):  
Field Theory ◽  
Finite Number ◽  
Energy Momentum Tensor ◽  
Canonical Quantization ◽  
Momentum Tensor ◽  
Theory Model ◽  
Two Dimensional ◽  
Noncommutative Field Theory ◽  
Moyal Product ◽  
Moyal Plane

We consider a Moyal plane and propose to make the noncommutativity parameter Θμν bifermionic, i.e. composed of two fermionic (Grassmann odd) parameters. The Moyal product then contains a finite number of derivatives, which avoid the difficulties of the standard approach. As an example, we construct a two-dimensional noncommutative field theory model based on the Moyal product with a bifermionic parameter and show that it has a locally conserved energy–momentum tensor. The model has no problem with the canonical quantization and appears to be renormalizable.

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.

The force on a defect

2020 ◽  
pp. 163-178
Author(s):  
Adrian P. Sutton
Keyword(s):  
Field Theory ◽  
Energy Momentum Tensor ◽  
Classical Field Theory ◽  
Image Force ◽  
Momentum Tensor ◽  
Classical Field ◽  
J Integral ◽  
Configurational Force ◽  
Mechanical Pressure ◽  
Static Energy

This chapter is based on Eshelby’s static energy-momentum tensor which results in an integral expression for the configurational force on a defect. After elucidating the concepts of a configurational force and an elastic singularity the mechanical pressure on an interface, such as a twin boundary or a martensitic interface, is derived. Eshelby’s force on a defect is derived using both physical arguments and more formally using classical field theory. It is equivalent to the J-integral in fracture mechanics. The Peach–Koehler force on a dislocation is rederived using the static energy-momentum tensor. An expression for an image force is derived, where a defect interacts with a free surface.

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