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The vortex free energy is studied in the random vortex world-surface model of the infrared sector of SU(3) Yang-Mills theory. The free energy of a center vortex extending into two spatial directions, which is introduced into Yang-Mills…

High Energy Physics - Lattice · Physics 2009-11-10 M. Quandt , H. Reinhardt , M. Engelhardt

We study the dynamics of the universe with a scalar field and an SU(2) non-Abelian Gauge (Yang-Mills) field. The scalar field has an exponential potential and the Yang-Mills field is coupled to the scalar field with an exponential function…

Cosmology and Nongalactic Astrophysics · Physics 2013-04-09 Kei-ichi Maeda , Kei Yamamoto

Lattice QCD predicts that the potential energy between static quarks is independent of time. However, in this paper we show that the gauge invariant color singlet potential energy between static quarks in the classical Yang-Mills theory…

High Energy Physics - Phenomenology · Physics 2018-05-09 Gouranga C Nayak

The infrared behavior of Yang-Mills theory at finite temperature provides access to the role of confinement. In this review recent results on this topic from lattice calculations and especially Dyson-Schwinger studies are discussed. These…

High Energy Physics - Phenomenology · Physics 2009-11-11 Axel Maas

The Yang-Mills theory with noncommutative fields is constructed following Hamiltonian and lagrangean methods. This modification of the standard Yang-Mills theory shed light on the confinement mechanism viewed as a Lorentz invariance…

High Energy Physics - Theory · Physics 2009-11-11 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , A. J. da Silva

Analytic solutions for the three-gluon and ghost-gluon vertices in Landau gauge Yang-Mills theory at low momenta are presented in terms of hypergeometric series. They do not only show the expected scaling behavior but also additional…

High Energy Physics - Phenomenology · Physics 2010-04-15 Reinhard Alkofer , Markus Q. Huber , Kai Schwenzer

Euclidean strong coupling expansion of the partition function is applied to lattice Yang-Mills theory at finite temperature, i.e. for lattices with a compactified temporal direction. The expansions have a finite radius of convergence and…

High Energy Physics - Lattice · Physics 2010-12-23 J. Langelage , G. Münster , O. Philipsen

SU(2) Yang-Mills Theory coupled to massive adjoint scalar matter is studied in (1+1) dimensions using Discretised Light-Cone Quantisation. This theory can be obtained from pure Yang-Mills in 2+1 dimensions via dimensional reduction. On the…

High Energy Physics - Theory · Physics 2009-10-28 Alex C. Kalloniatis

The infrared properties of the high-temperature limit of Landau-gauge Yang-Mills theory are investigated. In a first step the high-temperature limit of the Dyson-Schwinger equations is taken. The resulting equations are identical to the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Axel Maas , Jochen Wambach , Burghard Gruter , Reinhard Alkofer

We study the scattering problem in the static patch of de Sitter space, i.e. the problem of field evolution between the past and future horizons of a de Sitter observer. We formulate the problem in terms of off-shell fields in Poincare…

High Energy Physics - Theory · Physics 2024-03-12 Emil Albrychiewicz , Yasha Neiman , Mirian Tsulaia

We study at the classical and quantum mechanical level the time-dependent Yang-Mills theory that one obtains via the generalisation of discrete light-cone quantisation to singular homogeneous plane waves. The non-Abelian nature of this…

High Energy Physics - Theory · Physics 2015-03-13 Martin O'Loughlin , Lorenzo Seri

The center vortex model for the infrared sector of Yang-Mills theory, previously studied for the SU(2) gauge group, is extended to SU(3). This model is based on the assumption that vortex world-surfaces can be viewed as random surfaces in…

High Energy Physics - Lattice · Physics 2009-11-10 M. Engelhardt , M. Quandt , H. Reinhardt

The possible condensation of the time-component of Yang-Mills field at finite temperature is discussed in the presence of Dirac fermions. We show that the condensation forms regardless of the number of fundamental and adjoint fermion…

High Energy Physics - Theory · Physics 2018-10-03 Atsushi Nakamula , Kiyoshi Shiraishi

Fuzzy spheres appear as classical solutions in a matrix model obtained via dimensional reduction of 3-dimensional Yang-Mills theory with the Chern-Simons term. Well-defined perturbative expansion around these solutions can be formulated…

High Energy Physics - Theory · Physics 2009-11-10 Takehiro Azuma , Subrata Bal , Keiichi Nagao , Jun Nishimura

Yang-Mills gauge field with gauge group SU(2) decomposes into a single charge neutral complex vector, and two spinless charged scalar fields. At high energies these constituents are tightly confined into each other by a compact U(1)…

High Energy Physics - Phenomenology · Physics 2009-11-11 Antti J. Niemi

In the (non-supersymmetric) Yang-Mills theory in the large N limit there exists an infinite set of non-degenerate vacua. The distinct vacua are separated by domain walls whose tension determines the decay rate of the false vacua. I discuss…

High Energy Physics - Theory · Physics 2009-12-30 M. Shifman

The Yang-Lee edge singularity was originally studied from the standpoint of mathematical foundations of phase transitions, and its physical demonstration has been of active interest both theoretically and experimentally. However, the…

Statistical Mechanics · Physics 2024-08-20 Huixia Gao , Kunkun Wang , Lei Xiao , Masaya Nakagawa , Norifumi Matsumoto , Dengke Qu , Haiqing Lin , Masahito Ueda , Peng Xue

Lattice Yang-Mills theories in any dimension may be regarded as coupled 1+1-dimensional integrable field theories. These integrable systems decouple at large center-of-mass energies, where the action becomes effectively anisotropic. This…

High Energy Physics - Lattice · Physics 2011-03-22 Peter Orland

We calculate the effective action in Yang-Mills and scalar \phi^4 quantum field theory with quantized scale invariant metric treated non-perturbatively in d=4 dimensions. There is no charge renormalization in the one-loop order for matter…

High Energy Physics - Theory · Physics 2007-05-23 Z. Haba

We present a more detailed picture of the infrared regime of Landau gauge Yang-Mills theory. This is done within a novel framework that allows one to take into account the influence of finite scales within an infrared power counting…

High Energy Physics - Theory · Physics 2010-05-19 Reinhard Alkofer , Markus Q. Huber , Kai Schwenzer
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