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We show that the confining property of the one-gluon propagator, in Coulomb gauge, is linked to the unbroken realization of a remnant gauge symmetry which exists in this gauge. An order parameter for the remnant gauge symmetry is…

High Energy Physics - Lattice · Physics 2008-11-26 Jeff Greensite , Stefan Olejnik , Daniel Zwanziger

We study the Green's function of the $ \nu=1/2 $ Chern-Simons system in the temporal (Weyl) gauge. We derive the Chern-Simons path integral in the temporal gauge. In order to do this, we gauge transform the path integral in the Coulomb…

Strongly Correlated Electrons · Physics 2011-10-05 J. Dietel

We investigate the strongly first-order electroweak phase transition using an effective field theoretical approach. The standard effective field theory with finite number truncation of higher dimensional operators fails in the typical…

High Energy Physics - Phenomenology · Physics 2022-06-22 Shinya Kanemura , Ryo Nagai , Masanori Tanaka

We consider phase transitions in the standard model (SM) without the Higgs mass term, which is coupled through a Higgs portal term to an SM singlet, classically scale-invariant gauge sector with SM singlet scalar fields. At lower energies…

High Energy Physics - Phenomenology · Physics 2015-09-08 Jisuke Kubo , Masatoshi Yamada

In SU($N$) gauge-Higgs theories, with a single Higgs field in the fundamental representation, there exists in addition to the local gauge symmetry a global SU(2) symmetry, at $N=2$, and a global U(1) symmetry, for $N \ne 2$. We construct a…

High Energy Physics - Theory · Physics 2019-04-02 Jeff Greensite , Kazue Matsuyama

In this paper we analyse the perturbative aspects of Chern-Simons field theories in the Coulomb gauge. We show that in the perturbative expansion of the Green functions there are neither ultraviolet not infrared divergences. Moreover, all…

High Energy Physics - Theory · Physics 2009-10-30 Franco Ferrari , I. Lazzizzera

Within the electroweak theory, it is shown that the form of the total Lagrangian is invariant, under local phase changes of the basis states for leptons and under local changes of the mathematical spaces employed for the description of…

General Physics · Physics 2019-01-21 Wen-ge Wang

The 3d SU(2)-Higgs model is used to find the critical Higgs mass above which the first order phase transition ends. One method is focused on the disappearance of the two-state signal of the scalar condensate (vanishing of the latent heat).…

High Energy Physics - Lattice · Physics 2009-10-30 M. Gürtler , E. -M. Ilgenfritz , A. Schiller

We study the Green's function of a gauge invariant fermionic operator in a strongly coupled field theory at nonzero temperature and density using a dual gravity description. The gravity model contains a charged black hole in four…

High Energy Physics - Theory · Physics 2012-06-27 Christopher P. Herzog , Jie Ren

We investigate an effective model for the finite temperature restoration phase transition of the electroweak theory. It is obtained by dimensional reduction of the $3+1$ dimensional full theory and by subsequent integration over all static…

High Energy Physics - Lattice · Physics 2011-07-19 F. Karsch , T. Neuhaus , A. Patkos

A large hierarchy between the electroweak scale and virtually any new scale of beyond-Standard-Model physics is often claimed to be unnatural. Sometimes, the apparent disparity between the measured Higgs mass and the size of the typical…

High Energy Physics - Phenomenology · Physics 2020-01-08 Matěj Hudec , Michal Malinský

The continuum 3d SU(2)$\times$U(1)+Higgs theory is an effective theory for a large class of 4d high-temperature gauge theories, including the minimal standard model and some of its supersymmetric extensions. We study the effects of the U(1)…

High Energy Physics - Lattice · Physics 2008-11-26 K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov

A consistent strategy for the subtraction of the divergences in the nonlinearly realized Electroweak Model in the loop expansion is presented. No Higgs field enters into the perturbative spectrum. The local functional equation (LFE),…

High Energy Physics - Phenomenology · Physics 2010-02-21 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

We perform a nonperturbative study of the electroweak phase transition (EWPT) in the two Higgs doublet model (2HDM) by deriving a dimensionally reduced high-temperature effective theory for the model, and matching to known results for the…

High Energy Physics - Phenomenology · Physics 2018-11-21 Jens O. Andersen , Tyler Gorda , Andreas Helset , Lauri Niemi , Tuomas V. I. Tenkanen , Anders Tranberg , Aleksi Vuorinen , David J. Weir

Force potential exerting between two classical static sources of pure non-abelian gauge theory in the Coulomb gauge is reconsidered at a periodic/twisted box of size $L^3$. Its perturbative behavior is examined by the short-distance…

High Energy Physics - Theory · Physics 2021-03-10 Tomohiro Furukawa , Keiichi Ishibashi , H. Itoyama , Satoshi Kambayashi

We show how the widely used concept of spontaneous symmetry breaking can be explained in causal perturbation theory by introducing a perturbative version of quantum gauge invariance. Perturbative gauge invariance, formulated exclusively by…

High Energy Physics - Theory · Physics 2008-11-26 Andreas Aste , Michael D"utsch , G"unter Scharf

We construct Green's functions for divergence form, second order parabolic systems in non-smooth time-varying domains whose boundaries are locally represented as graph of functions that are Lipschitz continuous in the spatial variables and…

Analysis of PDEs · Mathematics 2014-09-25 Hongjie Dong , Seick Kim

We develop a unified approach to both infrared and ultraviolet asymptotics of the fermion Green functions in the condensed matter systems that allow for an effective description in the framework of the Quantum Electrodynamics. By applying a…

Condensed Matter · Physics 2009-11-07 D. V. Khveshchenko

We study the Neumann Green's function for second order parabolic systems in divergence form with time-dependent measurable coefficients in a cylindrical domain $\mathcal{Q}=\Omega\times (-\infty,\infty)$, where $\Omega\subset \mathbb{R}^n$…

Analysis of PDEs · Mathematics 2018-09-18 Jongkeun Choi , Seick Kim

This paper investigates the non-commutative version of the Abelian Higgs model at the one loop level. We find that the BRST invariance of the theory is maintained at this order in perturbation theory, rendering the theory one-loop…

High Energy Physics - Theory · Physics 2009-11-07 Frank J. Petriello