scholarly journals Gauge-invariant field-strength correlators in pure Yang-Mills theory and full QCD at finite temperature

2003 ◽  
Vol 67 (11) ◽  
Author(s):  
M. D’Elia ◽  
A. Di Giacomo ◽  
E. Meggiolaro
Keyword(s):  
Field Strength ◽  
Finite Temperature ◽  
Gauge Invariant ◽  
Yang Mills

scholarly journals Gauge invariant method for maximum simplification of the field strength in non-Abelian Yang–Mills theories

2015 ◽  
Vol 12 (10) ◽  
pp. 1550104 ◽  
Author(s):  
Alcides Garat
Keyword(s):  
Field Strength ◽  
Gauge Invariant ◽  
Invariant Method ◽  
Yang Mills ◽  
Local Gauge ◽  
Abelian Field ◽  
Local Observables ◽  
Block Diagonal

A new local gauge invariant method is introduced in order to maximally simplify the expression for a SU(2) non-Abelian field strength. The new tetrads introduced in previous works are going to play a fundamental role in the algorithm presented in this paper. Three new local gauge invariant objects are going to guide us through the process of making a field strength block diagonal. The process is also covariant. Any nontrivial isospace field strength projection will become block diagonal through this gauge invariant algorithm. As an application we will find new local observables in Yang–Mills theories.

scholarly journals Chern-Simons-Antoniadis-Savvidy Forms and Non-Abelian Anomaly

2019 ◽  
Vol 8 (1) ◽  
pp. 11-15
Author(s):  
Suhaivi Hamdan ◽  
Erwin Erwin ◽  
Saktioto Saktioto
Keyword(s):  
Field Strength ◽  
Gauge Transformation ◽  
Integral Form ◽  
Gauge Fields ◽  
Gauge Invariant ◽  
Time Coordinate ◽  
Form Analysis ◽  
Yang Mills ◽  
Chern Simons ◽  
Gauge Variation

Kuat medan tensor yang ditransformasikan secara homogen terhadap perluasan transformasi gauge memenuhi bentuk sifat invarian gauge. Analisa invarian gauge dalam bantuk integeralnya memperlihatkan hubungan dengan koordinat ruang-waktu yang menunjukan bentuk baru dari topologi Lagrangian. Sifat invarian dari bentuk Pontryagin-Chern terhadap kuat medan tensor non-Abelian dan lemma Poincare dapat digunakan untuk mengkontruksi bentuk ChSAS yang menunjukan sifat quasi-invarian dibawah transformasi gauge. Artikel ini bertujuan untuk membuktikan bahwa kuat medan tensor Yang-Mills dari bentuk ChSAS memilik variasi gauge anomali non-Abelian seperti pada bentuk Chern-Simons. Integrasi bentuk ChSAS menghasilkan dimensi-4, 6 dan 8 variasi gauge genap dan memperlihatkan hubungan dengan bentuk Chern-Simons dimensi-3 dan 5 untuk variasi gauge ganjil. Bentuk ChSAS memperlihatkan variabel lebih kompleks yang menujukan sifat berosilasi. Tensors field strength transformation homogeneously to extend gauge transformation fulfilling charateristic gauge invariant form. Analysis gauge invariant in integral form shows corresponding with space-time coordinate that prove new topology Lagrangians form. Furthermore invariant charateristic of Pontryagin-Chern to non-Abelian tensor gauge fields and lemma Poincare used to contruct ChSAS forms which shows quasi-inavriant under gauge transformation. This paper aims to prove Yang-Mills tensor gauge field of ChSAS forms has variation non-Abelian anomaly like Chern-Simons forms. The integration ChSAS forms resulted 4, 6 and 8-dimensional even gauge variation which also correspond 3 and 5-dimensional odd gauge variation Chern-Simons forms. The ChSAS forms also showed complex variable and osilation.  Keywords: Pontryagin-Chern, Kuat medan tensor non-Abelian, Chern-Simans-Antoniadis-Savvidy, Anomali Non-Abelian.

scholarly journals INTERSECTION OF YANG–MILLS THEORY WITH GAUGE DESCRIPTION OF GENERAL RELATIVITY

2012 ◽  
Vol 27 (20) ◽  
pp. 1250108
Author(s):  
MARTIN KOBER
Keyword(s):  
General Relativity ◽  
Field Strength ◽  
Gauge Group ◽  
Additional Term ◽  
Interaction Structure ◽  
Gauge Invariant ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Commutation Relations ◽  
Strength Tensor

An intersection of Yang–Mills theory with the gauge description of general relativity is considered. This intersection has its origin in a generalized algebra, where the generators of the SO(3, 1) group as gauge group of general relativity and the generators of a SU(N) group as gauge group of Yang–Mills theory are not separated anymore but are related by fulfilling nontrivial commutation relations with each other. Because of the Coleman–Mandula theorem this algebra cannot be postulated as Lie algebra. As consequence, extended gauge transformations as well as an extended expression for the field strength tensor is obtained, which contains a term consisting of products of the Yang–Mills connection and the connection of general relativity. Accordingly a new gauge invariant action incorporating the additional term of the generalized field strength tensor is built, which depends of course on the corresponding tensor determining the additional intersection commutation relations. This means that the theory describes a decisively modified interaction structure between the Yang–Mills gauge field and the gravitational field leading to a violation of the equivalence principle.

scholarly journals The first law of heterotic stringy black hole mechanics at zeroth order in α′

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Zachary Elgood ◽  
Dimitrios Mitsios ◽  
Tomás Ortín ◽  
David Pereñíguez
Keyword(s):  
Black Hole ◽  
Field Strength ◽  
Effective Field ◽  
Gauge Invariant ◽  
Yang Mills ◽  
First Order ◽  
Entropy Formula ◽  
Gauge Symmetries ◽  
Ring Solution ◽  
Chern Simons

Abstract We prove the first law of black hole mechanics in the context of the Heterotic Superstring effective action compactified on a torus to leading order in α′, using Wald’s formalism, covariant Lie derivatives and momentum maps. The Kalb-Ramond field strength of this theory has Abelian Chern-Simons terms which induce Nicolai-Townsend transformations of the Kalb-Ramond field. We show how to deal with all these gauge symmetries deriving the first law in terms of manifestly gauge-invariant quantities. In presence of Chern-Simons terms, several definitions of the conserved charges exist, but the formalism picks up only one of them to play a role in the first law. We study explicitly a non-extremal, charged, black ring solution of pure $$ \mathcal{N} $$ N = 1, d = 5 supergravity embedded in the Heterotic Superstring effective field theory.This work is a first step towards the derivation of the first law at first order in α′ where, more complicated, non-Abelian, Lorentz (“gravitational”) and Yang-Mills Chern-Simons terms are included in the Kalb-Ramond field strength. The derivation of a first law is a necessary step towards the derivation of a manifestly gauge-invariant entropy formula which is still lacking in the literature. In its turn, this entropy formula is needed to compare unambiguously macroscopic and microscopic black hole entropies.

scholarly journals Study of the gauge invariant, nonlocal mass operatorTr∫d4xFμν(D2)−1Fμνin Yang-Mills theories

2005 ◽  
Vol 72 (10) ◽  
Author(s):  
M. A. L. Capri ◽  
D. Dudal ◽  
J. A. Gracey ◽  
V. E. R. Lemes ◽  
R. F. Sobreiro ◽  
...  
Keyword(s):  
Gauge Invariant ◽  
Yang Mills

scholarly journals A MANIFESTLY GAUGE INVARIANT AND UNIVERSAL CALCULUS FORSU(N) YANG–MILLS

2006 ◽  
Vol 21 (23n24) ◽  
pp. 4627-4761 ◽  
Author(s):  
OLIVER J. ROSTEN
Keyword(s):  
Perturbation Theory ◽  
Renormalization Group ◽  
Explicit Dependence ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Group A ◽  
Β Function ◽  
Exact Renormalization Group

Within the framework of the Exact Renormalization Group, a manifestly gauge invariant calculus is constructed for SU (N) Yang–Mills. The methodology is comprehensively illustrated with a proof, to all orders in perturbation theory, that the β function has no explicit dependence on either the seed action or details of the covariantization of the cutoff. The cancellation of these nonuniversal contributions is done in an entirely diagrammatic fashion.

scholarly journals Quantum chaos in the Yang-Mills-Higgs system at finite temperature

2005 ◽  
Vol 42 (2) ◽  
pp. 183-190 ◽  
Author(s):  
D. U. Matrasulov ◽  
F. C. Khanna ◽  
U. R. Salomov ◽  
A. E. Santana
Keyword(s):  
Finite Temperature ◽  
Quantum Chaos ◽  
Yang Mills

Gauge-Invariant Characterization of Yang–Mills–Higgs Equations

2006 ◽  
Vol 8 (1) ◽  
pp. 203-217 ◽  
Author(s):  
Marco Castrillón López ◽  
Jaime Muñoz Masqué
Keyword(s):  
Gauge Invariant ◽  
Yang Mills ◽  
Invariant Characterization

scholarly journals Gauge-invariant quantum circuits for U (1) and Yang-Mills lattice gauge theories

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
Giulia Mazzola ◽  
Simon V. Mathis ◽  
Guglielmo Mazzola ◽  
Ivano Tavernelli
Keyword(s):  
Gauge Theories ◽  
Quantum Circuits ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Invariant Quantum
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