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We show that the four-dimensional U(1) gauge theory in the continuum formulation has a confining phase (exhibiting area law of the Wilson loop) in the strong coupling region above a critical coupling $g_c$. This result is obtained by taking…

High Energy Physics - Theory · Physics 2009-10-31 Kei-Ichi Kondo

Recently there has been progress in the understanding of the confinement mechanism in Landau gauge QCD. The emerging dynamical description in terms of the underlying gauge dependent degrees of freedom goes beyond the static confinement in…

High Energy Physics - Phenomenology · Physics 2009-06-25 Kai Schwenzer

We construct a class of fixed-time models in which the commutations relations of a Dirac field with a bosonic field are non-trivial and depend on the choice of a given distribution ("twisting factor"). If the twisting factor is fundamental…

Mathematical Physics · Physics 2024-11-06 Ezio Vasselli

In this article we show that boundary conditions can be treated as Lagrangian and Hamiltonian constraints. Using the Dirac method, we find that boundary conditions are equivalent to an infinite chain of second class constraints which is a…

High Energy Physics - Theory · Physics 2009-01-07 M. M. Sheikh-Jabbari , A. Shirzad

Walking technicolor is a mechanism for electroweak symmetry breaking without Higgs field. The Higgs mechanism is provided by chiral symmetry breaking in the technicolor theory. An essential ingredient is the vicinity to an IR fixed point,…

High Energy Physics - Lattice · Physics 2011-04-14 Luigi Del Debbio , Biagio Lucini , Agostino Patella , Claudio Pica , Antonio Rago

We discuss a confining model for charmonium in which the attractive force are derived from a new type of gauge field equation with a generalized $SU_3$ gauge symmetry. The new gauge transformations involve non-integrable phase factors with…

High Energy Physics - Phenomenology · Physics 2014-06-04 Jong-Ping Hsu

It is shown that the quantum SU(3) gauge theory can be approximately reduced to U(1) gauge theory with broken gauge symmetry and interacting with scalar fields. The scalar fields are some approximation for 2 and 4-points Green's functions…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir Dzhunushaliev

We propose that, in SU(3) gauge theories with fundamental quarks, confinement can be inferred from spectral density of the Dirac operator. This stems from the proposition that its possible behaviors are exhausted by three distinct types…

High Energy Physics - Lattice · Physics 2015-09-02 Andrei Alexandru , Ivan Horváth

We consider a spontaneously broken gauge theory based on the standard model (SM) group G = SU(2) x U(1) with scalar fields that carry arbitrary representations of G, and we investigate some general properties of the charged and neutral…

High Energy Physics - Phenomenology · Physics 2014-11-17 W. Bernreuther , O. Nachtmann

We study the confinement of charged Dirac particles in 3+1 space-time due to the presence of a constant and tilted magnetic field. We focus on the nature of the solutions of the Dirac equation and on how they depend on the choice of vector…

High Energy Physics - Theory · Physics 2022-06-22 Abdulaziz D. Alhaidari , Hocine Bahlouli , Ahmed Jellal

We consider a scalar field $\phi$ whose coupling to the kinetic term of a non-abelian gauge field is set at an UV scale $M$. Then the confinement of the gauge sector will induce a $\phi$-dependent vacuum energy which generates a…

High Energy Physics - Phenomenology · Physics 2020-12-02 Eung Jin Chun , Chengcheng Han

We present a closed bouncing universe model where the value of coupling constants is set by the dynamics of a ghost-like dilatonic scalar field. We show that adding a periodic potential for the scalar field leads to a cyclic Friedmann…

High Energy Physics - Theory · Physics 2016-06-06 Stephon Alexander , Sam Cormack , Marcelo Gleiser

Using the mechanism of spontaneous symmetry breaking of scale invariance obtained from the dynamics of maximal rank field strengths, it is possible to spontaneously generate confining behavior. Introducing a dilaton field, the study of non…

High Energy Physics - Theory · Physics 2008-11-26 E. I. Guendelman

Gauge systems in the confining phase induce constraints at the boundaries of the effective string, which rule out the ordinary bosonic string even with short distance modifications. Allowing topological excitations, corresponding to winding…

High Energy Physics - Theory · Physics 2019-08-17 M. Caselle , R. Fiore , F. Gliozzi , P. Provero , S. Vinti

In this paper we present a new model for a gauge field theory such that self-interacting spin-one particles can be confined in a compact domain. The necessary conditions to produce the confinement appear already in the properties of the…

High Energy Physics - Phenomenology · Physics 2008-02-03 M. Novello , V. A. De Lorenci , E. Elbaz

We present a method for finding lines of constant physics in the confinement phase of the SU(2) Higgs model on the lattice. The model is considered at finite values of the cut-off where it behaves like an effective field theory with three…

High Energy Physics - Lattice · Physics 2009-10-31 F. Knechtli

We study quenched SU(2) lattice gauge theory with adjoint fermions in a wide range of temperatures. We focus on spectral quantities of the Dirac operator and use the temporal fermionic boundary conditions as a tool to probe the system. We…

High Energy Physics - Lattice · Physics 2009-11-13 Erek Bilgici , Christof Gattringer , Ernst-Michael Ilgenfritz , Axel Maas

An effective Lagrangian for the light quark in the field of a static source is derived systematically using the exact field correlator expansion. The lowest Gaussian term is bosonized using nonlocal colorless bosonic fields and a general…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

The compact U(1) gauge field occurs in many fractionalized descriptions of low dimensional quantum magnetism and heavy fermion systems. In this respect a fundamental question about the gauge field is whether it is confined or not in the…

Strongly Correlated Electrons · Physics 2012-04-23 Yin Zhong , Ke Liu , Yong-Qiang Wang , Hong-Gang Luo

The so-called decoupling and scaling solutions of functional equations of Landau gauge Yang-Mills theory are briefly reviewed. In both types of solutions the positivity violation seen in the gluon propagator is taken as an indication of…

High Energy Physics - Theory · Physics 2011-09-06 Reinhard Alkofer