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We study six-dimensional $SU(n)$ gauge models with rank-reducing discrete boundary conditions on the orbifold $T^2/{\mathbb Z}_4$, without and with continuous Wilson line phases. For the latter case, we find that a minimal model can…

High Energy Physics - Phenomenology · Physics 2025-06-18 Yoshiharu Kawamura , Eiji Kodaira , Kentaro Kojima , Toshifumi Yamashita

We describe higher-dimensional theories whose low-energy 4D descriptions contain larger gauge or global symmetry groups. As an example, we construct a Higgsless SU(2) x U(1) model of electroweak symmetry breaking. The 5D SU(2) gauge…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christopher D. Carone , Joshua Erlich , Marc Sher

The simplest nontrivial toy model of a classical SU(3) lattice gauge theory is studied in the Hamiltonian approach. By means of singular symplectic reduction, the reduced phase space is constructed. Two equivalent descriptions of this space…

High Energy Physics - Theory · Physics 2009-11-11 E. Fischer , G. Rudolph , M. Schmidt

Starting from the strong-coupling SU(2) Wilson action in D=3 dimensions, we derive an effective, semi-local action on a lattice of spacing L times the spacing of the original lattice. It is shown that beyond the adjoint color-screening…

High Energy Physics - Lattice · Physics 2009-10-31 M. Faber , J. Greensite , S. Olejnik

The effect of restricting the plaquette ($1\times 1$ Wilson loop) to be greater than a certain cutoff is studied. The action considered is the standard Wilson action with the addition of the plaquette restriction, which does not affect the…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Grady

In order to investigate the phenomenological implications of allowing gauge fields to propagate in warped spaces of more than five dimensions, we consider a toy model of a space warped by the presence of a anisotropic bulk cosmological…

High Energy Physics - Phenomenology · Physics 2011-01-05 Paul R. Archer

We analyze Regge quantum gravity coupled to SU(2) gauge theory on $4^3\times 2$, $6^{3}\times 4$ and $8^{3}\times 4$ simplicial lattices. It turns out that the window of the well-defined phase of the gravity sector where geometrical…

High Energy Physics - Lattice · Physics 2011-09-09 B. A. Berg , W. Beirl , B. Krishnan , H. Markum , J. Riedler

We consider a N=1 supersymmetric E(8) gauge theory, defined in ten dimensions and we determine all four-dimensional gauge theories resulting from the generalized dimensional reduction a la Forgacs-Manton over coset spaces, followed by a…

High Energy Physics - Theory · Physics 2009-12-07 George Douzas , Theodoros Grammatikopoulos , George Zoupanos

We study grand unified models in the five-dimensional space-time where the extra dimension is compactified on $S^1/Z_2$. The spontaneous breaking of unified gauge symmetries is achieved via vacuum expectation values of the extra-dimensional…

High Energy Physics - Phenomenology · Physics 2017-06-28 Kentaro Kojima , Kazunori Takenaga , Toshifumi Yamashita

A 6-dimensional grand unified theory with the compact space having the topology of a real projective plane, i.e., a 2-sphere with opposite points identified, is considered. The space is locally flat except for two conical singularities…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Hebecker

In this paper we discuss compactifications of M-theory to four dimensions on X \times S^1/Z_2, in which nonstandard embeddings in the E_8 \times E_8 vacuum gauge bundle are considered. At the level of the effective field theory description…

High Energy Physics - Phenomenology · Physics 2014-11-17 Zygmunt Lalak , Stefan Pokorski , Steven Thomas

We study gauge symmetry breaking patterns of the five-dimensional $SU(5)$ grand gauge-Higgs unification compactified on an orbifold $S^1/{\mathbb Z}_2$ with the Hosotani mechanism in the framework of the diagonal embedding method. We find…

High Energy Physics - Phenomenology · Physics 2017-02-01 Kentaro Kojima , Kazunori Takenaga , Toshifumi Yamashita

We investigate the dynamics of three-dimensional lattice gauge theories by means of an external Abelian magnetic field. For the SU(2) lattice gauge theory we find evidence of the unstable modes.

High Energy Physics - Lattice · Physics 2009-10-22 P. Cea , L. Cosmai

We construct exact duality transformations in pure SU(N) Hamiltonian lattice gauge theory in (2+1) dimension. This duality is obtained by making a series of iterative canonical transformations on the SU(N) electric vector fields and their…

High Energy Physics - Lattice · Physics 2023-05-05 Manu Mathur , Atul Rathor

Motivated by the electroweak hierarchy problem, we consider theories with two extra dimensions in which the four-dimensional scalar fields are components of gauge boson in full space. We explore the Nielsen-Olesen instability for SU(N) on a…

High Energy Physics - Phenomenology · Physics 2010-10-27 J. Alfaro , A. Broncano , M. B. Gavela , S. Rigolin , M. Salvatori

Three dimensional supersymmetric gauge theories are often in a gapped phase, in which SUSY is spontaneously broken, if all the matter fields are massive and decoupled in the low energy. We study this phase in the large $N$ limit using the…

High Energy Physics - Theory · Physics 2018-11-14 Kazuma Shimizu , Seiji Terashima

We present an extension of the Standard Model inspired by the E_8 x E_8 Heterotic String. In order that a reasonable effective Lagrangian is presented we neglect everything else other than the ten-dimensional N=1 supersymmetric Yang-Mills…

High Energy Physics - Phenomenology · Physics 2012-05-14 Nikos Irges , Georgios Orfanidis , George Zoupanos

A derivation is given from first principles of the fact that the SU(2) gauge theory is in a confining phase for all values of the coupling $0 < g < \infty$ defined at lattice spacing (UV regulator) $a$, and space-time dimension $d \leq 4$.…

High Energy Physics - Theory · Physics 2007-07-17 E. T. Tomboulis

We consider a class of non-supersymmetric gauge theories obtained by orbifolding the N=4 super-Yang-Mills theories. We focus on the resulting quiver theories in their deconstructed phase, both at small and large coupling, where a fifth…

High Energy Physics - Theory · Physics 2008-11-26 Ph. Brax , R. A. Janik , R. Peschanski

We derive electroweak constraints on the compactification scale of minimal 5-dimensional extensions of the Standard Model, in which all or only some of the SU(2)$_L$ and U(1)$_Y$ gauge fields and Higgs bosons feel the presence of the fifth…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Mück , Apostolos Pilaftsis , Reinhold Rückl