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The uniquess of the effective actions describing 4D SU(2) and SU(3) continuum, infinite-volume Yang-Mills thermodynamics in their deconfining and preconfining phases is made explicit. Subsequently, the spatial string tension is computed in…

High Energy Physics - Theory · Physics 2014-11-18 Josef Ludescher , Jochen Keller , Francesco Giacosa , Ralf Hofmann

We study the phase diagram of SU(2) Yang-Mills theory with one adjoint Weyl fermion on R^3xS^1 as a function of the fermion mass m and the compactification scale L. This theory reduces to thermal pure gauge theory as m->infinity and to…

High Energy Physics - Theory · Physics 2015-06-05 Erich Poppitz , Thomas Schaefer , Mithat Unsal

We propose a Lorentz-covariant Yang-Mills ``spin-gauge'' theory, where the function valued Pauli matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$ of the 2-spinors describing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. Dehnen , E. Hitzer

The variables appropriate for the infrared limit of unconstrained SU(2) Yang-Mills field theory are obtained in the Hamiltonian formalism. It is shown how in the infrared limit an effective nonlinear sigma model type Lagrangian can be…

High Energy Physics - Theory · Physics 2007-05-23 A. M. Khvedelidze , H. -P. Pavel

The Einstein equations with small positive cosmological constant coupled to an SU(2) Yang Mills field admits solutions that possess a coordinate singularity at a noncritical radius. Here, we prove that these solutions are otherwise globally…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alexander N. Linden

We study four-dimensional adjoint QCD with gauge group SU(2) and two Weyl fermion flavors, which has an $SU(2)_R$ chiral symmetry. The infrared behavior of this theory is not firmly established. We explore candidate infrared phases by…

High Energy Physics - Theory · Physics 2024-05-29 Clay Cordova , Thomas T. Dumitrescu

In this paper, we present all constant solutions of the Yang-Mills equations with ${\rm SU}(2)$ gauge symmetry for an arbitrary constant non-Abelian current in Euclidean space ${\mathbb R}^n$ of arbitrary finite dimension $n$. Using the…

Mathematical Physics · Physics 2020-03-03 D. S. Shirokov

We investigate the spectral flows of the hermitian Wilson-Dirac operator in the fundamental and adjoint representations on two ensembles of pure SU(2) gauge field configurations at the same physical volume. We find several background gauge…

High Energy Physics - Lattice · Physics 2009-10-31 Robert G. Edwards , Urs M. Heller , Rajamani Narayanan

The model of nonperturbative vacuum in SU(2) Yang-Mills theory coupled to a nonlinear spinor field is suggested. By analogy with Abelian magnetic monopole dominance in quantum chromodynamics, it is assumed that the dominant contribution to…

High Energy Physics - Theory · Physics 2022-05-31 Vladimir Dzhunushaliev , Vladimir Folomeev

The partition function of general N = 2 supersymmetric SU(2) Yang-Mills theories on a four-sphere localizes to a matrix integral. We show that in the decompactification limit, and in a certain regime, the integral is dominated by a saddle…

High Energy Physics - Theory · Physics 2015-06-23 Jorge G. Russo

We give a complete classification of all static, spherically symmetric solutions of the SU(2) Einstein-Yang-Mills theory with a positive cosmological constant. Our classification proceeds in two steps. We first extend solutions of the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Peter Breitenlohner , Peter Forgacs , Dieter Maison

We use a cooling algorithm based on an improved action with scale invariant instanton solutions, which needs no monitoring or calibration and has a inherent cut off for dislocations. We present results for SU(2) Yang-Mills theory where the…

High Energy Physics - Lattice · Physics 2016-09-01 Philippe de Forcrand , Margarita Garcia Perez , Ion-Olimpiu Stamatescu

Using a spin-charge separation of the gluon field in the Landau gauge we show that the SU(2) Yang-Mills theory in the low-temperature phase can be considered as a nematic liquid crystal. The ground state of the nematic crystal is…

High Energy Physics - Theory · Physics 2016-09-06 M. N. Chernodub

We investigate the deconfinement transition of static quarks in SU(N) Yang-Mills theories using a perturbative approach based on a massive extension of the Landau-DeWitt gauge-fixed action, where the gluon mass term is related to the issue…

High Energy Physics - Theory · Physics 2015-05-18 Julien Serreau

We present a classification and an explicit form of all constant solutions of the Yang-Mills equations with ${\rm SU}(2)$ gauge symmetry for an arbitrary constant non-Abelian current in pseudo-Euclidean space ${\mathbb R}^{p,q}$ of…

Mathematical Physics · Physics 2023-10-06 D. S. Shirokov

The quantization of the non-commutative N=1, U(1) super-Yang-Mills action is performed in the superfield formalism. We calculate the one-loop corrections to the self-energy of the vector superfield. Although the power-counting theorem…

High Energy Physics - Theory · Physics 2009-11-07 A. A. Bichl , M. Ertl , A. Gerhold , J. M. Grimstrup , H. Grosse , L. Popp , V. Putz , M. Schweda , R. Wulkenhaar

A confining quantum chromodynamics (QCD) model is formulated on the basis of a new general Yang-Mills $SU_3$ symmetry. The general Yang-Mills transformations involve arbitrary vector gauge functions $\omega_\mu(x)$ and Hamilton's…

General Physics · Physics 2019-11-26 Jong-Ping Hsu

The thermodynamics of $SU(2)$ Yang-Mills theory in the covariant variational approach is studied by relating the free action density in the background of a non-trivial Polyakov loop to the pressure of the gluon plasma. The correct…

High Energy Physics - Theory · Physics 2017-10-11 Markus Quandt , Hugo Reinhardt

SU(2) Yang-Mills field theory is considered in the framework of the generalized Hamiltonian approach and the equivalent unconstrained system is obtained using the method of Hamiltonian reduction. A canonical transformation to a set of…

High Energy Physics - Theory · Physics 2010-11-19 A. M. Khvedelidze , H. -P. Pavel

In this paper, we consider the Einstein-massive gravity coupled to the Yang-Mills gauge field in five dimensions. Concentrating on the static solutions with planar horizon geometry, we explore the thermodynamic behavior in the extended…

High Energy Physics - Theory · Physics 2020-04-13 S. H. Hendi , A. Nemati