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We construct the most general gauge fixing and the associated Faddeev-Popov ghost term for the SU(2) Yang-Mills theory, which leaves the global U(1) gauge symmetry intact (i.e., the most general Maximal Abelian gauge). We show that the most…

High Energy Physics - Theory · Physics 2009-11-07 T. Shinohara , T. Imai , K. -I. Kondo

It is argued that the presence of a nonanalytic term in the effective potential of the Ginzburg-Landau model is immaterial as far as the order of the superconductor-normal phase transition is concerned. To achieve agreement with the…

Condensed Matter · Physics 2016-11-23 Adriaan M. J. Schakel

We present a functional renormalization group (fRG) study of the two dimensional Hubbard model, performed with an algorithmic implementation which lifts some of the common approximations made in fRG calculations. In particular, in our fRG…

Strongly Correlated Electrons · Physics 2019-10-23 Agnese Tagliavini , Cornelia Hille , Fabian B. Kugler , Sabine Andergassen , Alessandro Toschi , Carsten Honerkamp

We examine some features of the non-renormalizability induced through the use of low-energy effective Lagrangians in loop diagrams, in the context of a scalar model which is ultraviolet finite and partially soluble. In this framework, one…

High Energy Physics - Theory · Physics 2023-03-29 F. T. Brandt , J. Frenkel , D. G. C. McKeon , G. S. S. Sakoda

We discuss general one and two-loop banana diagrams and one-loop diagrams with external lines with arbitrary masses on the anti de Sitter spacetime by using methods of AdS quantum field theory in the dimensional regularization approach. The…

High Energy Physics - Theory · Physics 2024-06-25 Sergio L. Cacciatori , Henri Epstein , Ugo Moschella

There is a general mechanism by which certain matter fields coupled to gravity can generate a nontrivial effective potential for the conformal factor of the metric. It is based on a nonstandard regularization method, with the cutoff being…

High Energy Physics - Theory · Physics 2007-05-23 R. Percacci

Higher order calculations in chiral gauge theories such as the Electroweak Standard Model require a sound treatment of the notoriously problematic $\gamma_5$-matrix in Dimensional Regularization (DReg). In the all-order consistent BMHV…

High Energy Physics - Phenomenology · Physics 2025-04-09 Paul Kühler , Dominik Stöckinger

Using the method of the effective potential of quantum field theory, we compute the quantum corrections to the phase diagram of systems with competing order parameters. This is specially useful to study metallic systems with competing…

Strongly Correlated Electrons · Physics 2019-11-11 Nei Lopes , Mucio A. Continentino , Daniel G. Barci

We calculate renormalization constants Z_H, Z_w, the Higgs and W-boson mass and tadpole counterterms in the on-mass-shell renormalization scheme to two loops in the heavy-Higgs-boson limit m_H >> M_W. Explicit analytic formulae are…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. Borodulin , G. Jikia

We develop a simple non-perturbative approach to the calculation of a field theory effective potential that is based on the Wilson or exact renormalization group. Our approach follows Shepard et al's idea [Phys. Rev. D51, 7017 (1995)] of…

High Energy Physics - Theory · Physics 2022-07-05 Jose Gaite

We implement an explicit two-loop calculation of the coupling functions and the self-energy of interacting fermions with a two-dimensional flat Fermi surface in the framework of the field theoretical renormalization group (RG) approach.…

Strongly Correlated Electrons · Physics 2009-11-10 H. Freire , E. Correa , A. Ferraz

By using superfield techniques, the effective potential of the $\mathcal{N}=1$ Wess-Zumino model in 2+1 dimensions is computed off-shell up to two loops. It is shown that supersymmetry is not dynamically broken, and that dynamical…

High Energy Physics - Theory · Physics 2013-02-22 R. V. Maluf , A. J. da Silva

The effective renormalizable theory describing electromagnetic and strong interactions of quarks of five light flavors ($n_f = 5$ QCD$\times$QED) is considered as a low-energy limit of the full Standard Model. Two-loop relation between the…

High Energy Physics - Phenomenology · Physics 2018-12-31 A. V. Bednyakov

Following the previously developed approach to the calculation of quantum corrections to the effective potential in arbitrary scalar field theories in the leading logarithmic approximation, we extended it to the next-to-leading order. Based…

High Energy Physics - Theory · Physics 2026-02-13 R. M. Iakhibbaev , D. I. Kazakov , A. I. Mukhaeva , D. M. Tolkachev

A detailed discussion of the renormalization properties of a class of gauges which interpolates among the Landau, Coulomb and Maximal Abelian gauges is provided in the framework of the algebraic renormalization in Euclidean Yang-Mills…

High Energy Physics - Theory · Physics 2008-11-26 M. A. L. Capri , R. F. Sobreiro , S. P. Sorella , R. Thibes

We derive the field-dependent masses in Fermi gauges for arbitrary scalar extensions of the Standard Model. These masses can be used to construct the effective potential for various models of new physics. We release a flexible…

High Energy Physics - Phenomenology · Physics 2022-12-09 Jonathan Zuk , Csaba Balazs , Andreas Papaefstathiou , Graham White

We study critical Fermi surfaces in generic dimensions arising from coupling finite-density fermions with transverse gauge fields, by applying the dimensional regularization scheme developed previously [Phys. Rev. B 92, 035141 (2015)]. We…

Strongly Correlated Electrons · Physics 2023-08-01 Ipsita Mandal

We study several problems related to the construction and the use of effective Lagrangians by considering an extension of the standard model that includes a heavy scalar singlet coupled to the leptonic doublet. Starting from the full…

High Energy Physics - Phenomenology · Physics 2009-10-22 Mikhail Bilenky , Arcadi Santamaria

Combining an optimized expansion scheme in the spirit of the background field method with the Coleman's normal-ordering renormalization prescription, we calculate the effective potential of sine-Gordon field theory beyond the Gaussian…

High Energy Physics - Theory · Physics 2009-11-07 Wen-Fa Lu , Chul Koo Kim , Kyun Nahm

Spontaneous breaking of quantum scale invariance may provide a solution to the hierarchy and cosmological constant problems. In a scale-invariant regularization, we compute the two-loop potential of a higgs-like scalar $\phi$ in theories in…

High Energy Physics - Theory · Physics 2016-12-21 D. M. Ghilencea , Z. Lalak , P. Olszewski