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Inspired by the interpretation of two dimensional Yang-Mills theory on a cylinder as a random walk on the gauge group, we point out the existence of a large N transition which is the gauge theory analogue of the cutoff transition in random…

High Energy Physics - Theory · Physics 2009-11-11 A. Apolloni , S. Arianos , A. D'Adda

The high-temperature phase of SU(2) Yang-Mills theory is addressed by means of dimensional reduction with a special emphasis on the properties of center vortices. For this purpose, the vortex vacuum which arises from center projection is…

High Energy Physics - Lattice · Physics 2009-10-31 J. Gattnar , K. Langfeld , A. Schafke , H. Reinhardt

We study the phase structure of N=1 supersymmetric Yang-Mills theory on R^3XS^1, with massive gauginos, periodic around the S^1, with Sp(2N) (N>=2), Spin(N) (N>=5), G_2, F_4, E_6, E_7, E_8 gauge groups. As the gaugino mass m is increased,…

High Energy Physics - Theory · Physics 2015-06-19 Mohamed M. Anber , Erich Poppitz , Brett Teeple

We compute, in the large N limit, the quark potential for ${\cal N}=4$ supersymmetric SU(N) Yang-Mills theory broken to $SU(N_1) \times SU(N_2)$. At short distances the quarks see only the unbroken gauge symmetry and have an attractive…

High Energy Physics - Theory · Physics 2010-02-03 J. A. Minahan , N. P. Warner

In this paper we investigate how various equivalences between effective field theories of $N=2$ SUSY Yang-Mills theory with matter can be understood through Higgs breaking, i.e. by giving expectation values to squarks. We give explicit…

High Energy Physics - Theory · Physics 2016-08-15 Ulf H. Danielsson , Pär Stjernberg

Recent Holographic studies have shown that N=4 super Yang-Mills theory coupled to fundamental matter with finite chemical potential undergoes a first order phase transition. In this paper, we study Nf D6 probe branes with or without…

High Energy Physics - Theory · Physics 2009-05-20 Shunji Matsuura

The Higgs quartic coupling has now been indirectly measured at the electroweak scale. Assuming no new low-scale physics, its running is known and, together with gauge and Yukawa couplings, it is a crucial new piece of information…

High Energy Physics - Theory · Physics 2013-10-09 Arthur Hebecker , Alexander K. Knochel , Timo Weigand

We study pure Yang--Mills theory on $\Sigma\times S^2$, where $\Sigma$ is a compact Riemann surface, and invariance is assumed under rotations of $S^2$. It is well known that the self-duality equations in this set-up reduce to vortex…

High Energy Physics - Theory · Physics 2011-05-02 Nicholas S. Manton , Norman A. Rink

We study the three-dimensional compact U(1) lattice gauge theory with $N$ Higgs fields numerically. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in easy plane, inflational cosmology, etc. For…

Superconductivity · Physics 2007-05-23 Tomoyoshi Ono , Ikuo Ichinose , Tetsuo Matsui

Using a one-loop approximation for the effective potential in the Higgs model of electrodynamics for a charged scalar field, we argue for the existence of a triple point for the renormalized (running) values of the selfinteraction $\lambda$…

High Energy Physics - Theory · Physics 2007-05-23 L. V. Laperashvili , H. B. Nielsen

The adjoint SU(2) lattice gauge theory in 3+1 dimensions with the Wilson plaquette action modified by a Z(2) monopole suppression term is reinvestigated with special emphasis on the existence of a finite-temperature phase transition…

High Energy Physics - Lattice · Physics 2017-08-23 A. Barresi , G. Burgio , M. Muller-Preussker

The construction of non-Abelian Euclidean Yang-Mills theories in dimension four, as scaling limits of lattice Yang-Mills theories or otherwise, is a central open question of mathematical physics. This paper takes the following small step…

Probability · Mathematics 2026-05-20 Sourav Chatterjee

In this Letter we present new, genuinely non-Abelian vortex solutions in SU(2) Yang-Mills--Higgs theory with only one {\it isovector} scalar field. These non-Abelian solutions branch off their Abelian counterparts (Abrikosov-Nielsen-Olesen…

High Energy Physics - Theory · Physics 2014-11-20 Francisco Navarro-Lerida , D. H. Tchrakian

We study self-dual instantons of topological charge $Q=r/N$, for any natural $r$, in $SU(N)$ Yang-Mills theory on a four torus with 't Hooft twists, by embedding them into worldvolume theories of $D$-branes. To study their moduli, we…

High Energy Physics - Theory · Physics 2026-04-27 Erich Poppitz

The $N=2$ supersymmetric continuum limit is investigated in the SU(2) adjoint Higgs-Yukawa model using lattice perturbation theory. In the one-loop renormalization group equations a non-trivial infrared fixed point of coupling ratios is…

High Energy Physics - Lattice · Physics 2016-08-31 I. Montvay

We study (3+1)-dimensional N=4 supersymmetric Yang-Mills theory on a spatial three-torus. The low energy spectrum consists of a number of continua of states of arbitrarily low energies. Although the theory has no mass-gap, it appears that…

High Energy Physics - Theory · Physics 2010-10-27 Mans Henningson , Niclas Wyllard

The SU(2)-Higgs model, with a single Higgs field in the fundamental representation and a quartic self-interaction, has a Higgs region and a confinement region which are analytically connected in the parameter space of the theory; these…

High Energy Physics - Lattice · Physics 2009-07-29 Mark Wurtz , Randy Lewis , T. G. Steele

We compute the force between oppositely charged W bosons in the large N limit of Yang-Mills with 16 supercharges broken to SU(N) x U(1) by a finite Higgs vev. We clarify some issues regarding Wilson line computations and show that there is…

High Energy Physics - Theory · Physics 2008-11-26 Daniel Kabat , Gilad Lifschytz

We consider minimal setups arising from different truncations of N=8 five-dimensional SO(6) gauged supergravity to study phase transitions involving spontaneous breaking of any of the U(1) symmetries in U(1)xU(1)xU(1)in SO(6). These…

High Energy Physics - Theory · Physics 2015-05-27 Francesco Aprile , Diederik Roest , Jorge G. Russo

We study $\mathcal{N}=2$ supersymmetric Yang--Mills theory in four dimensions and then compactify it on $\mathbb{R}^{3}\times S^{1}$. The gauge symmetry of the theory is broken by a vacuum expectation value of the scalar field, which…

High Energy Physics - Theory · Physics 2012-06-12 Kirill Petunin
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