Boundary conditions as dynamical fields

In this article, we obtain a local, BRST-invariant action for QCD at finite temperature, altered from FadeevPopov theory due to the presence of Gribov copies. We carefully derive the horizon condition at finite temperature. Only the zero Matsubara mode is affected, and this result is consistent with the suitably modified Maggiore-Schaden shift, which takes into account temporal periodicity. The large-N limit and other calculational schemes for the magnetic mass and gluon condensates and their relation to the Gribov mass are also discussed.

Section: A Coupling Constant Expansion the Magnetic Mass And Condenmentioning

confidence: 99%

Local QCD action at finite temperature

Cooper

Zwanziger²

2016

“…(It was this version of the action which was used in [22,23].) In this expression, we do not yet have the part with the negative eigenvalues of P since the tilde system is not included.…”

Section: Discussionmentioning

confidence: 99%

“…It is particularly suited for semiclassical and large N expansions. (A few papers which focus on this aspect, by no means an exhaustive list, are [22,23]. )…”

Section: Action and Functional Integral For Thermofield Dynamicsmentioning

confidence: 99%

Thermofield dynamics and gravity

Nair

2015

Self Cite

Thermofield dynamics is presented in terms of a path-integral using coherent states, equivalently, using a coadjoint orbit action. A field theoretic formulation in terms of fields on a manifold M ×M where the two components have opposite orientation is also presented. We propose formulating gravitational dynamics for noncommutative geometry using thermofield dynamics, doubling the Hilbert space modeling the noncommutative space. We consider 2+1 dimensions in some detail and since M andM have opposite orientation, the commutative limit leads to the Einstein-Hilbert action as the difference of two Chern-Simons actions.

“…This makes our approach fundamentally different from other analytic studies of (2 + 1)-dimensional QCD (which are generally at large dimensionless coupling) [11], [12]. Recently, Karabali, Nair and Yelnikov [13] have computed corrections to the results in [11], in powers of the coupling constant. Their approach could eventually be used to study confinement at weak coupling.…”

Section: Introductionmentioning

confidence: 88%

“…We call these the horizontal string tension, σ H and the vertical string tension σ V , respectively. To lowest order in λ, these are given by [4], [5], 11) where C N is the smallest eigenvalue of the Casimir operator of SU (N ). In Sections III and IV, we compute quantum corrections to the string tensions (2.11) using the exact form factors of the sigma model (shown in the appendix).…”

Section: Longitudinally Rescaled Yang-mills Hamiltonian In the Axmentioning

confidence: 99%

(2+1)-dimensional Yang-Mills theory and form factor perturbation theory

Cubero¹

2014

We study Yang Mills theory in 2+1 dimensions, as an array of coupled (1+1)-dimensional principal chiral sigma models. This can be understood as an anisotropic limit where one of the space-time dimensions is discrete and the others are continuous. The SU (N ) × SU (N ) principal chiral sigma model in 1+1 dimensions is integrable, asymptotically free and has massive excitations. New exact form factors and correlation functions of the sigma model have recently been found by the author and P. Orland. In this paper, we use these new results to calculate physical quantities in (2+1)-dimensional Yang-Mills theory, generalizing previous SU (2) results by Orland, which include the string tensions and the low-lying glueball spectrum. We also present a new approach to calculate two-point correlation functions of operators using the light glueball states. The anisotropy of the theory yields different correlation functions for operators separated in the x 1 and x 2 -directions.