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The dynamics of SU(N) gauge theories, especially for N=3, in a small C-periodic box are investigated. We identify the fields that mimimize the energy---the torons---and determine which of these ``classical'' vacua are stable quantum…

High Energy Physics - Lattice · Physics 2009-10-22 A. S. Kronfeld , U. -J. Wiese

We calculate the low-lying glueball spectrum, some string tensions and some properties of topology and the running coupling for SU(N) lattice gauge theories in 3+1 dimensions. We do so for N = 2,3,...12, using lattice simulations with the…

High Energy Physics - Lattice · Physics 2022-01-05 Andreas Athenodorou , Michael Teper

We present results of a high statistics study of the chromo field distribution between static quarks in SU(2) gauge theory on lattices of volumes 16^4, 32^4, and 48^3*64, with physical extent ranging from 1.3 fm up to 2.7 fm at beta=2.5,…

High Energy Physics - Lattice · Physics 2009-10-22 G. S. Bali , K. Schilling , C. Schlichter

Based on a functional-integral formalism, a generalization of the self-energy-functional theory (SFT) is proposed which is applicable to systems of interacting electrons with disorder. Similar to the pure case without disorder, a…

Strongly Correlated Electrons · Physics 2013-05-29 Michael Potthoff , Matthias Balzer

We present a quantum computational framework for SU(2) lattice gauge theory, leveraging continuous variables instead of discrete qubits to represent the infinite-dimensional Hilbert space of the gauge fields. We consider a ladder as well as…

High Energy Physics - Lattice · Physics 2025-06-24 Victor Ale , Nora M. Bauer , Raghav G. Jha , Felix Ringer , George Siopsis

The quantum properties of localized finite energy solutions to classical Euler-Lagrange equations are investigated using the method of collective coordinates. The perturbation theory in terms of inverse powers of the coupling constant $g$…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Shurgaia , H. J. W. Mueller-Kirsten

We consider pure SU(N) gauge theories defined on an orbifold lattice, analogous to the S^1/Z_2 gauge theory orbifolds of the continuum, which according to the perturbative analysis do not have a Higgs phase. Non-perturbatively the…

High Energy Physics - Lattice · Physics 2015-06-18 Nikos Irges , Francesco Knechtli

QCD with gauge group $SU(N_c)$ flows to an interacting conformal fixed point in three spacetime dimensions when the number of four-component Dirac fermions $N_f \gg N_c$. We study the stability of this fixed point via the…

High Energy Physics - Theory · Physics 2016-09-28 Hart Goldman , Michael Mulligan

The free energy of a nonabelian gauge theory at high temperature $T$ can be calculated to order $g^5$ using resummed perturbation theory, but the method breaks down at order $g^6$. A new method is developed for calculating the free energy…

High Energy Physics - Phenomenology · Physics 2010-11-01 Eric Braaten

An approximate technique for performing nonperturbative calculations in quantum SU(3) gauge theory is presented. One aspect of this nonperturbative method is the breaking down $SU(3) \to SU(2) + coset$. The procedure also uses some aspects…

High Energy Physics - Phenomenology · Physics 2009-11-10 Vladimir Dzhunushaliev , Douglas Singleton , Tatyana Nikulicheva

The contribution of the quark self energy to the meson masses is studied in the framework of the relativistic flux tube model. The equivalence between this phenomenological model and the more QCD based rotating string Hamiltonian is used as…

High Energy Physics - Phenomenology · Physics 2010-11-19 F. Buisseret , C. Semay

We determine the static potential for a heavy quark-antiquark pair from the spontaneous symmetry breaking of scale invariance in a non-Abelian gauge theory. Our calculation is done within the framework of the gauge-invariant,…

High Energy Physics - Theory · Physics 2008-11-26 Patricio Gaete , Eduardo Guendelman , Euro Spallucci

We calculate the third coefficient of the lattice $\beta$ function in pure Yang-Mills theory. We make use of a computer code for solving perturbation theory analytically on the lattice. We compute the divergent integrals by using a method…

High Energy Physics - Lattice · Physics 2009-10-28 B. Alles , A. Feo , H. Panagopoulos

Calculations of $1\to N$ amplitudes in scalar field theories at very high multiplicities exhibit an extremely rapid growth with the number $N$ of final state particles. This either indicates an end of perturbative behaviour, or possibly…

High Energy Physics - Phenomenology · Physics 2018-11-21 Joerg Jaeckel , Sebastian Schenk

In this article, a new calculation of static potentials between sources of different representations in SU(3) gauge group is presented. The results of author's previous study \cite{Deld00} at the smallest lattice spacing $a_{s}\simeq0.11$~…

High Energy Physics - Lattice · Physics 2009-01-07 Sedigheh Deldar

In this Letter, we investigate the stability of the statistical equilibrium of spherically symmetric collisionless self-gravitating systems. By calculating the second variation of the entropy, we find that perturbations of the relevant…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-08 Ping He , Dong-Biao Kang

We study the static three-quark (3Q) potential in detail using SU(3) lattice QCD with $12^3 \times 24$ at $\beta=5.7$ and $16^3 \times 32$ at $\beta=5.8, 6.0$ at the quenched level. For more than 200 patterns of the 3Q systems, we…

High Energy Physics - Lattice · Physics 2009-11-07 T. T. Takahashi , H. Suganuma , H. Matsufuru , Y. Nemoto

We investigate whether spontaneous symmetry breaking can persist up to arbitrarily high temperature in ultraviolet-complete quantum field theories in four spacetime dimensions. We focus on completely asymptotically free models with gauge…

High Energy Physics - Theory · Physics 2026-04-02 Borut Bajc , Giulia Muco , Francesco Sannino , Sophie Wagner

It is well known that effective potentials can be gauge-dependent while their values at extrema should be gauge-invariant. Unfortunately, establishing this invariance in perturbation theory is not straightforward, since contributions from…

High Energy Physics - Phenomenology · Physics 2015-06-22 Anders Andreassen , William Frost , Matthew D. Schwartz

We compute the dimensionally regularised four-loop vacuum energy density of the SU(N_c) gauge + adjoint Higgs theory, in the disordered phase. ``Scalarisation'', or reduction to a small set of master integrals of the type appearing in…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Kajantie , M. Laine , K. Rummukainen , Y. Schroder