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While we have several complementary models of confinement, some of which are phenomenologically appealing, we do not have the ability to calculate analytically even simple aspects of confinement, let alone have a framework to eventually…

High Energy Physics - Lattice · Physics 2026-05-20 Gerrit Schierholz

One of the salient features of high temperature gluodynamics is the Z(N) groundstate degeneracy, key to the understanding of the transition. On the other hand impressive progress has been obtained with effective theories, that seemingly…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Bronoff , R. Buffa , C. P. Korthals Altes

The tensor renormalization group method is a promising approach to lattice field theories, which is free from the sign problem unlike standard Monte Carlo methods. One of the remaining issues is the application to gauge theories, which is…

High Energy Physics - Lattice · Physics 2021-12-22 Mitsuaki Hirasawa , Akira Matsumoto , Jun Nishimura , Atis Yosprakob

Using background field perturbation theory we study Wilsonian effective actions of noncommutative gauge theories with an arbitrary matter content. We determine the Wilsonian coupling constant and the gauge boson polarization tensor as…

High Energy Physics - Theory · Physics 2010-02-03 Valentin V. Khoze , Gabriele Travaglini

In SU(2) gluodynamics, the Debye gluon contribution W_D(A_0) to the effective action of the temporal gauge field component, A_0 = const, at high temperature is calculated in the background R^{xi} gauge. It is shown that at nonzero A_0 the…

High Energy Physics - Phenomenology · Physics 2020-02-13 O. A. Borisenko , V. V. Skalozub

In this paper we derive the general expression of a one-loop effective potential of the nonintegrable phases of Wilson lines for an SU(N) gauge theory with a massless adjoint fermion defined on the spactime manifold $R^{1,d-3}\times T^2$ at…

High Energy Physics - Theory · Physics 2008-11-26 Chung-Chieh Lee , Choon-Lin Ho

By employing the gradient flow exact renormalization group (GFERG), we study the renormalization group (RG) flow of a manifestly gauge or BRST invariant non-perturbative ansatz of the 1PI Wilson action in quantum electrodynamics. The gauge…

High Energy Physics - Theory · Physics 2026-03-24 Sorato Nagao , Hiroshi Suzuki

We summarize recent attempts to extract characteristics of non-perturbative vacuum structure from lattice measurements of the gauge invariant field strength correlator. As an alternative to cooling, we propose to apply the renormalization…

High Energy Physics - Lattice · Physics 2007-05-23 E. -M. Ilgenfritz , S. Thurner

A gauge invariant Wilsonian effective action is constructed for pure SU(N) Yang-Mills theory by formulating the corresponding flow equation. Manifestly gauge invariant calculations can be performed i.e. without gauge fixing or ghosts.…

High Energy Physics - Theory · Physics 2009-11-07 Tim R. Morris

We study the low-energy dynamics of noncommutative $\N=2$ supersymmetric U(N) Yang-Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. We find…

High Energy Physics - Theory · Physics 2010-02-03 Timothy J. Hollowood , Valentin V. Khoze , Gabriele Travaglini

We study the renormalization of non-commutative gauge theories with matter. As in the scalar field theory cases, there are logarithmic infrared divergences resulting from integrating out high momentum modes. In order to reproduce the…

High Energy Physics - Theory · Physics 2016-09-06 Arvind Rajaraman , Moshe Rozali

We advocate a (Wilson) renormalization-group (RG) treatment of finite-temperature first-order phase transitions, in particular those driven by radiative corrections such as occur in the standard model, and other spontaneously-broken gauge…

High Energy Physics - Phenomenology · Physics 2009-10-22 Mark Alford , John March-Russell

In this work we use generalized deformed gauge groups for investigation of symmetry of general relativity (GR). GR is formulated in generalized reference frames, which are represented by (anholonomic in general case) affine frame fields.…

General Relativity and Quantum Cosmology · Physics 2020-06-09 S. E. Samokhvalov

A manifestly gauge invariant exact renormalization group for pure SU(N) Yang-Mills theory is proposed, allowing gauge invariant calculations, without any gauge fixing or ghosts. The necessary gauge invariant regularisation which implements…

High Energy Physics - Theory · Physics 2007-05-23 Stefano Arnone , Antonio Gatti , Tim R. Morris

The thermodynamic properties of ${\cal N}=1$ supersymmetric Yang-Mills theory with an arbitrary gauge group are investigated. In the confined range, we show that identifying the bound state spectrum with a Hagedorn one coming from…

High Energy Physics - Phenomenology · Physics 2015-09-01 G. Lacroix , C. Semay , F. Buisseret

We perform a tensor renormalization group simulation of non-Abelian gauge theory in three dimensions using a formulation based on the `armillary sphere.' In this formulation, matrix indices are completely traced out, eliminating the…

High Energy Physics - Lattice · Physics 2025-02-07 Atis Yosprakob , Kouichi Okunishi

These notes provide a concise introduction to important applications of the renormalization group (RG) in statistical physics. After reviewing the scaling approach and Ginzburg-Landau theory for critical phenomena, Wilson's momentum shell…

Statistical Mechanics · Physics 2015-03-19 Uwe C. Tauber

The dynamics at the IR fixed point realized in the $SU(N_c)$ gauge theories with massless Dirac fermions is studied by means of the non-perturbative renormalization group. The analysis includes the IR fixed points with non-trivial Yukawa…

High Energy Physics - Phenomenology · Physics 2011-11-09 Haruhiko Terao , Akito Tsuchiya

Sources in higher representations of SU(N) gauge theory at T=0 couple with apparently stable strings with tensions depending on the specific representation rather than on its N-ality. Similarly at the deconfining temperature these sources…

High Energy Physics - Theory · Physics 2009-11-11 Ferdinando Gliozzi

In this paper the smallest thermal screening mass associated with the correlator of the $CT$-odd operator, $\sim {\rm Tr}F_{\mu\nu}\tilde{F}^{\mu\nu}$, is determined in strongly coupled non-Abelian gauge plasmas which are holographically…

High Energy Physics - Theory · Physics 2015-01-08 S. I. Finazzo , J. Noronha