scholarly journals Perturbation theory of Coulomb gauge Yang-Mills theory within the first order formalism

2007 ◽  
Vol 76 (12) ◽  
Author(s):  
P. Watson ◽  
H. Reinhardt
Keyword(s):  
Perturbation Theory ◽  
Coulomb Gauge ◽  
Yang Mills ◽  
First Order

scholarly journals Chiral perturbation theory for GR

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Kirill Krasnov ◽  
Yuri Shtanov
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation ◽  
Perturbative Calculation ◽  
New Formalism ◽  
Yang Mills ◽  
First Order ◽  
Starting Point ◽  
Gauge Fixing ◽  
New Perturbation ◽  
Effective Description

Abstract We describe a new perturbation theory for General Relativity, with the chiral first-order Einstein-Cartan action as the starting point. Our main result is a new gauge-fixing procedure that eliminates the connection-to-connection propagator. All other known first-order formalisms have this propagator non-zero, which significantly increases the combinatorial complexity of any perturbative calculation. In contrast, in the absence of the connection-to-connection propagator, our formalism leads to an effective description in which only the metric (or tetrad) propagates, there are only cubic and quartic vertices, but some vertex legs are special in that they cannot be connected by the propagator. The new formalism is the gravity analog of the well-known and powerful chiral description of Yang-Mills theory.

scholarly journals Einstein–Yang–Mills theory: gauge invariant charges and linearization instability

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Emel Altas ◽  
Ercan Kilicarslan ◽  
Bayram Tekin
Keyword(s):  
General Relativity ◽  
Perturbation Theory ◽  
Order Perturbation ◽  
Order Perturbation Theory ◽  
Gauge Fields ◽  
Gauge Invariant ◽  
Yang Mills ◽  
First Order ◽  
Flat Spacetime ◽  
First Order Perturbation

AbstractWe construct the gauge-invariant electric and magnetic charges in Yang–Mills theory coupled to cosmological general relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser (Phys Lett B 116:259–263, 1982). For non-vanishing background gauge fields, the charges receive non-trivial contribution from the gravity part. In addition, we study the constraints on the first order perturbation theory and establish the conditions for linearization instability: that is the validity of the first order perturbation theory.

scholarly journals A SPECTRAL APPROACH TO YANG-MILLS THEORY

2002 ◽  
Vol 17 (06n07) ◽  
pp. 926-935
Author(s):  
GIAMPIERO ESPOSITO
Keyword(s):  
Riemannian Manifolds ◽  
Differential Operators ◽  
Coulomb Gauge ◽  
Point Of View ◽  
Order Differential Operator ◽  
Matrix Elements ◽  
Four Dimensions ◽  
Yang Mills ◽  
First Order ◽  
Pseudo Differential Operators

Yang–Mills theory in four dimensions is studied by using the Coulomb gauge. The Coulomb gauge Hamiltonian involves integration of matrix elements of an operator [Formula: see text] built from the Laplacian and from a first-order differential operator. The operator [Formula: see text] is studied from the point of view of spectral theory of pseudo-differential operators on compact Riemannian manifolds, both when self-adjointness holds and when it is not fulfilled. In both cases, well-defined matrix elements of [Formula: see text] are evaluated as a first step towards the more difficult problems of quantized Yang–Mills theory.

scholarly journals Truncating First-Order Dyson–Schwinger Equations in Coulomb Gauge Yang–Mills Theory

2009 ◽  
Vol 47 (1-2) ◽  
pp. 73-90 ◽  
Author(s):  
Reinhard Alkofer ◽  
Axel Maas ◽  
Daniel Zwanziger
Keyword(s):  
Coulomb Gauge ◽  
Yang Mills ◽  
First Order

scholarly journals Chiral correlators in $$ \mathcal{N} $$ = 2 superconformal quivers

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Francesco Galvagno ◽  
Michelangelo Preti
Keyword(s):  
Field Theory ◽  
Perturbation Theory ◽  
Flat Space ◽  
Field Theories ◽  
Superconformal Field Theories ◽  
Four Dimensions ◽  
Yang Mills ◽  
The Matrix ◽  
Superspace Formalism ◽  
Model Approach

Abstract We consider a family of $$ \mathcal{N} $$ N = 2 superconformal field theories in four dimensions, defined as ℤq orbifolds of $$ \mathcal{N} $$ N = 4 Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a perturbative level, using both the matrix model approach arising from supersymmetric localisation on the four-sphere and explicit field theory calculations on the flat space using the $$ \mathcal{N} $$ N = 1 superspace formalism. We implement a highly efficient algorithm to produce a large number of results for finite values of N , exploiting the symmetries of the quiver to reduce the complexity of the mixing between the operators. Finally the interplay with the field theory calculations allows to isolate special observables which deviate from $$ \mathcal{N} $$ N = 4 only at high orders in perturbation theory.

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