scholarly journals Quantum κ-deformed differential geometry and field theory

2016 ◽  
Vol 25 (05) ◽  
pp. 1650053 ◽  
Author(s):  
Flavio Mercati
Keyword(s):  
Field Theory ◽  
Differential Geometry ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Covariant Form ◽  
Complex Scalar ◽  
Conservation Of Energy ◽  
Complex Scalar Field ◽  
Noncommutative Spacetime ◽  
Vector Valued

I introduce in [Formula: see text]-Minkowski noncommutative spacetime the basic tools of quantum differential geometry, namely bicovariant differential calculus, Lie and inner derivatives, the integral, the Hodge-[Formula: see text] and the metric. I show the relevance of these tools for field theory with an application to complex scalar field, for which I am able to identify a vector-valued four-form which generalizes the energy–momentum tensor. Its closedness is proved, expressing in a covariant form the conservation of energy–momentum.

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.

scholarly journals QUANTUM NOETHER'S THEOREM AND CONFORMAL FIELD THEORY: A STUDY OF SOME MODELS

1999 ◽  
Vol 11 (05) ◽  
pp. 519-532 ◽  
Author(s):  
SEBASTIANO CARPI
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scalar Field ◽  
Scaling Limit ◽  
Momentum Tensor ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Quantum Field ◽  
Time Dimension ◽  
Complex Scalar

We study the problem of recovering Wightman conserved currents from the canonical local implementations of symmetries which can be constructed in the algebraic framework of quantum field theory, in the limit in which the region of localization shrinks to a point. We show that, in a class of models of conformal quantum field theory in space-time dimension 1+1, which includes the free massless scalar field and the SU(N) chiral current algebras, the energy-momentum tensor can be recovered. Moreover we show that the scaling limit of the canonical local implementation of SO(2) in the free complex scalar field is zero, a manifestation of the fact that, in this last case, the associated Wightman current does not exist.

scholarly journals Generative Model Study for 1+1d-Complex Scalar Field Theory

2021 ◽  
Author(s):  
Kai Zhou ◽  
Gergely Endrodi ◽  
Long-Gang Pang ◽  
Horst Stoecker
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Generative Model ◽  
Scalar Field Theory ◽  
Complex Scalar ◽  
Model Study ◽  
Complex Scalar Field ◽  
1D Complex
Sign in / Sign up

Export Citation Format

Share Document