scholarly journals Energy-momentum tensor on the lattice: Nonperturbative renormalization in Yang-Mills theory

2015 ◽  
Vol 91 (11) ◽  
Author(s):  
Leonardo Giusti ◽  
Michele Pepe
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Yang Mills ◽  
Nonperturbative Renormalization

scholarly journals Covariant Canonical Method for Yang-Mills Theory Expressed as a Constrained BF-Like Theory

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Alberto Escalante ◽  
Irving García
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Canonical Analysis ◽  
Noether’S Theorem ◽  
Yang Mills ◽  
Noether's Theorem ◽  
Canonical Approach

The covariant canonical analysis for Yang-Mills theory expressed as a BF-like action is performed. We study a BF-like action, that in spite of being the coupling of two topological terms, yield, on shell to Yang-Mills action. In addition, by using the results obtained in the covariant canonical approach we study the symmetries of the action, in particular we calculate its energy-momentum tensor obtaining the same tensor found for Yang-Mills theory; then we confirm those results by using Noether's theorem.

scholarly journals Distribution of energy-momentum tensor around a static quark in the deconfined phase of SU(3) Yang-Mills theory

2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Ryosuke Yanagihara ◽  
Masakiyo Kitazawa ◽  
Masayuki Asakawa ◽  
Tetsuo Hatsuda
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Yang Mills ◽  
Static Quark

scholarly journals CONSERVED CURRENT FOR GENERAL TELEPARALLEL MODELS

2002 ◽  
Vol 17 (20) ◽  
pp. 2765-2765 ◽  
Author(s):  
Y. ITIN
Keyword(s):  
Field Equation ◽  
Vector Fields ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Geometrical Structures ◽  
Yang Mills ◽  
First Order ◽  
Diffeomorphism Invariance ◽  
Maxwell Field Equation ◽  
Conserved Current

The obstruction for the existence of an energy-momentum tensor for the gravitational field in GR is connected with vanishing of first order invariants in (pseudo) Riemannian geometry. This specific geometric property is not valid in alternative geometrical structures1,2. A parallelizable differentiable 4D-manifold endowed with a class of smooth coframe fields ϑa is considered. A general 3-parameter class of global Lorentz invariant teleparallel models is considered. It includes a 1-parameter subclass of models with the Schwarzschild coframe solution (generalized teleparallel equivalent of gravity) 3. By introducing the notion of a 3-parameter conjugate field strength F linear in the strength Ca = dϑa the coframe Lagrangian is rewritten in the Maxwell-Yang-Mills form L = 1/2Fa ∧ Ca. The field equation turns out to have a form d * Fa = Ta completely similar to the Maxwell field equation. By applying the Noether procedure, the source 3-form Ta is shown to be connected with the diffeomorphism invariance of the Lagrangian. Thus the source Ta of the coframe field is interpreted as the total conserved energy-momentum current of the coframe field and matter4. The energy-momentum tensor is defined as a map of the module of current 3-forms into the module of vector fields 5. Thus an energy-momentum tensor for the coframe is defined in a diffeomorphism invariant and a translational covariant way. The total energy-momentum current of a system is conserved. Thus a redistribution of the energy-momentum current between material and coframe (gravity) field is possible in principle, unlike as in the standard GR. The result is: The standard GR has a neighborhood of viable models with the same Schwarzschild solutions. These models however have a better Lagrangian behavior and produce an invariant energy-momentum tensor.

scholarly journals On Sugawara construction on celestial sphere

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Wei Fan ◽  
Angelos Fotopoulos ◽  
Stephan Stieberger ◽  
Tomasz R. Taylor
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Conformal Transformations ◽  
Moody Algebra ◽  
Gauge Bosons ◽  
Yang Mills ◽  
Conformal Field ◽  
Celestial Sphere ◽  
Double Copy ◽  
Conserved Currents

Abstract Conformally soft gluons are conserved currents of the Celestial Conformal Field Theory (CCFT) and generate a Kac-Moody algebra. We study celestial amplitudes of Yang-Mills theory, which are Mellin transforms of gluon amplitudes and take the double soft limit of a pair of gluons. In this manner we construct the Sugawara energy-momentum tensor of the CCFT. We verify that conformally soft gauge bosons are Virasoro primaries of the CCFT under the Sugawara energy-momentum tensor. The Sugawara tensor though does not generate the correct conformal transformations for hard states. In Einstein-Yang- Mills theory, we consider an alternative construction of the energy-momentum tensor, similar to the double copy construction which relates gauge theory amplitudes with gravity ones. This energy momentum tensor has the correct properties to generate conformal transformations for both soft and hard states. We extend this construction to supertranslations.

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