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We study the 3d effective theory of the high T Abelian Higgs model with N real scalars and gauge and scalar couplings denoted g and $\lambda$, respectively. We find for the three cases a) $6g^2/\lambda =0(1)$, b) $6g^2/\lambda=0(N)$ and c)…

High Energy Physics - Phenomenology · Physics 2016-09-01 Vidyut Jain

We investigate the effect of higher-dimensional marginal operators on the thermodynamics of cosmological phase transitions. Focusing on the Abelian Higgs model, we systematically match these operators, which arise at higher orders in the…

High Energy Physics - Phenomenology · Physics 2025-03-25 Fabio Bernardo , Philipp Klose , Philipp Schicho , Tuomas V. I. Tenkanen

We study a finite temperature two-loop resummed effective potential in the Abelian gauge theory. A tractable calculation scheme without using a high-temperature expansion is devised. We apply it to the Abelian-Higgs model and its extension…

High Energy Physics - Phenomenology · Physics 2013-03-14 Koichi Funakubo , Eibun Senaha

The electroweak phase transition is investigated by means of the perturbatively calculated high temperature effective potential. An analytic result to order $g^4,\lambda^2$ is presented for the Abelian Higgs model, the SU(2)-Higgs model and…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Hebecker

We study on the lattice the 3d SU(2)+Higgs model, which is an effective theory of a large class of 4d high temperature gauge theories. Using the exact constant physics curve, continuum ($V\to\infty, a\to 0$) results for the properties of…

High Energy Physics - Lattice · Physics 2009-10-28 K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov

We study the three-dimensional U(1)+Higgs theory (Ginzburg-Landau model) as an effective theory for finite temperature phase transitions from the 1 K scale of superconductivity to the relativistic scales of scalar electrodynamics. The…

High Energy Physics - Lattice · Physics 2009-10-30 K. Kajantie , M. Karjalainen , M. Laine , J. Peisa

We complete the perturbative program for equilibrium thermodynamics of cosmological first-order phase transitions by determining the finite-temperature effective potential of gauge-Higgs theories at next-to-next-to-next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2024-05-29 Andreas Ekstedt , Philipp Schicho , Tuomas V. I. Tenkanen

It is argued that confining effects in 3-dimensional non-Abelian gauge theories (high-temperature limit of 4-dimensional ones) imply the existence of the condensates of the gauge and Higgs fields in 3-d vacuum. This non-perturbative effect…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Shaposhnikov

Gauge symmetries and Higgs mechanisms are key features of theories describing high-energy particle physics and collective phenomena in statistical and condensed-matter physics. In this review we address the collective behavior of systems of…

Statistical Mechanics · Physics 2025-06-10 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We investigate non-perturbative features of a three-dimensional Abelian Higgs model with singly- and doubly-charged scalar fields coupled to a single compact Abelian gauge field. The model is pretending to describe various planar systems of…

Strongly Correlated Electrons · Physics 2008-11-26 M. Bock , M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

Using the 1-loop reduced 3D action of the Abelian Higgs-model we discuss the order of its finite temperature phase transition. A two-variable saddle point approximation is proposed for the evaluation of the effective potential. The strength…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Jakovác , A. Patkós

Theories with extended Higgs sectors constructed in view of cosmological ramifications (gravitational wave signal, baryogenesis, dark matter) are often faced with conflicting requirements for their couplings; in particular those influencing…

High Energy Physics - Phenomenology · Physics 2017-05-22 M. Laine , M. Meyer , G. Nardini

The high-temperature limit of the 2-loop effective potential for the Higgs field is calculated from an effective 3d theory, in a general covariant gauge. It is shown explicitly that a gauge-independent result can be extracted for the…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. Laine

We study the 3d effective field theory of a weakly coupled two Higgs-doublet scalar model at high temperature. Our model has three scalar quartic couplings and an $O(4)$ symmetry which is spontaneously broken by a nonzero scalar field $vev$…

High Energy Physics - Phenomenology · Physics 2010-11-01 Vidyut Jain , Aris Papadopoulos

We consider a three-dimensional lattice Abelian Higgs gauge model for a charged $N$-component scalar field ${\phi}$, which is invariant under $SO(N)$ global transformations for generic values of the parameters. We focus on the…

Statistical Mechanics · Physics 2024-06-21 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

The type-I region of phase transitions at finite temperature of the U(1)-Higgs theory in 3+1 dimensions is investigated in detail using a Wilsonian renormalisation group. We consider in particular the quantitative effects induced through…

High Energy Physics - Phenomenology · Physics 2009-10-31 Filipe Freire , Daniel F. Litim

We propose a gauge invariant formulation of the effective potential in terms of a gauge invariant order parameter, for the Abelian Higgs model. The one-loop contribution at zero and finite temperature is computed explicitly, and the leading…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Boyanovsky , D. Brahm , R. Holman , D. -S. Lee

The 3-dimensional gauge-Higgs system describes the non-perturbative infrared effects of the high-temperature phase of the Standard Model. We calculate the two-loop self-energies in the 3-dimensional SU(2) Higgs model and in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Frank Eberlein

This dissertation is devoted to the study of thermodynamics for quantum gauge theories. The poor convergence of quantum field theory at finite temperature has been the main obstacle in the practical applications of thermal QCD for decades.…

High Energy Physics - Phenomenology · Physics 2011-05-09 Nan Su

We investigate the phase transition in the three-dimensional abelian Higgs model for N complex scalar fields, using the gauge-invariant average action \Gamma_{k}. The dependence of \Gamma_{k} on the effective infra-red cut-off k is…

Condensed Matter · Physics 2015-06-25 B. Bergerhoff , D. Litim , S. Lola , C. Wetterich
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