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We analyze Lorentz violations in the bosonic sector of a Yukawa-type quantum field theory. The nonrelativistic potential may be determined to all orders in the Lorentz violation, and we find that only specific types of modifications to the…

High Energy Physics - Theory · Physics 2010-11-05 B. Altschul

The effective potential of quantized scalar field on fuzzy sphere is evaluated to the two-loop level. We see that one-loop potential behaves like that in the commutative sphere and the Coleman-Weinberg mechanism of the radiatively symmetry…

High Energy Physics - Theory · Physics 2009-11-07 Wung-Hong Huang

We derive a systematic treatment of one-loop effective potentials for interacting scalar fields in curved spacetimes, providing a general formula valid in arbitrary geometries and explicit results for de Sitter and anti-de Sitter…

High Energy Physics - Theory · Physics 2026-03-03 Alfio Bonanno , Sergio Luigi Cacciatori , Ugo Moschella

In this paper we consider general relativity and its combination with scalar quantum electrodynamics (QED) as an effective quantum field theory at energies well below the Planck scale. This enables us to compute the one-loop quantum…

High Energy Physics - Theory · Physics 2008-11-26 Sven Faller

In this paper we apply the usual perturbative methodology to evaluate the one-loop effective potential in a nonlocal scalar field theory. We find that the effect induced by the nonlocaliity of the theory is always very small and we discuss…

General Relativity and Quantum Cosmology · Physics 2015-11-18 F. Briscese , E. R. Bezerra de Mello , A. Yu. Petrov , V. B. Bezerra

A large mass expansion of the one-loop effective action of a scalar field on the two-dimensional Minkowski spacetime is found in the system of coordinates, where the metric $g_{\mu\nu}(t,x)\neq\eta_{\mu\nu}=diag(1,-1)$, and…

High Energy Physics - Theory · Physics 2016-02-01 P. O. Kazinski , V. D. Miller

We calculate the one-loop effective potential at finite temperature for a system of massless scalar fields with quartic interaction $\lambda\phi^4$ in the framework of the boundary effective theory (BET) formalism. The calculation relies on…

High Energy Physics - Phenomenology · Physics 2011-06-30 A. Bessa , C. A. A. de Carvalho , E. S. Fraga , F. Gelis

A number of different approaches to quantum gravity are at least partly phenomenologically characterized by their treatment of Lorentz symmetry, in particular whether the symmetry is exact or modified/broken at the smallest scales. For…

General Relativity and Quantum Cosmology · Physics 2012-08-16 Stefano Liberati , David Mattingly

In this paper we study the one- and two-loop contribution to the free energy in QED with the Lorentz symmetry breaking introduced via constant CPT-even Lorentz-breaking parameters at the high temperature limit. We find the impact of the…

High Energy Physics - Theory · Physics 2010-03-12 M. Gomes , T. Mariz , J. R. Nascimento , A. Yu. Petrov , A. F. Santos , A. J. da Silva

In this work we make use of proper-time method to evaluate Schwinger effect in the presence of Lorentz-violating background fields. Specifically, we evaluate the one-loop effective Lagrangian in the presence of Lorentz-violating time-like…

High Energy Physics - Theory · Physics 2022-08-08 Rafael L. J. Costa , Rodrigo F. Sobreiro

We show that the general Lorentz- and CPT-violating extension of quantum electrodynamics is one-loop renormalizable. The one-loop Lorentz-violating beta functions are obtained, and the running of the coefficients for Lorentz and CPT…

High Energy Physics - Theory · Physics 2010-04-06 Alan Kostelecky , Charles Lane , Austin Pickering

It is well known that effective potentials can be gauge-dependent while their values at extrema should be gauge-invariant. Unfortunately, establishing this invariance in perturbation theory is not straightforward, since contributions from…

High Energy Physics - Phenomenology · Physics 2015-06-22 Anders Andreassen , William Frost , Matthew D. Schwartz

We compute the field derivatives of a one-loop charge breaking effective potential and analyse their effect in its minimisation. The impact on charge breaking bounds on the MSSM parameters is discussed.

High Energy Physics - Phenomenology · Physics 2009-11-07 P. M. Ferreira

We calculate the one-loop effective potential of a scalar field in a Robertson-Walker background with scalar metric perturbations. A complete set of orthonormal solutions of the perturbed equations is obtained by using the adiabatic…

High Energy Physics - Phenomenology · Physics 2016-11-23 Antonio L. Maroto , Francisco Prada

We calculate the one-loop effective potential for Horava-Lifshitz-like QED with an arbitrary critical exponent within different approaches and discuss its gauge dependence.

High Energy Physics - Theory · Physics 2015-06-23 A. M. Lima , J. R. Nascimento , A. Yu. Petrov , R. F. Ribeiro

The effective potential obtained by loop expansion is usually not real in the range of field values explored by its minima during a phase transition. We apply the optimized perturbation theory in a fixed gauge to singlet scalar extensions…

High Energy Physics - Phenomenology · Physics 2023-05-04 Károly Seller , Zsolt Szép , Zoltán Trócsanyi

Analogue models of gravity have provided an experimentally realizable test field for our ideas on quantum field theory in curved spacetimes but they have also inspired the investigation of possible departures from exact Lorentz invariance…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Stefano Liberati

We present a theoretical analysis of the one-loop effective potential of a self-interacting real scalar field in the presence of two parallel conducting plates with geometric roughness. Using WKB methods to evaluate the spectral density of…

High Energy Physics - Theory · Physics 2026-04-17 Claudio Bórquez , Byron Droguett

In Lorentz- and CPT-violating effective field theories involving scalar and spinor fields, there exist forms of Lorentz violation that modify only the scalar-spinor Yukawa interaction vertices. These affect low-energy fermion and…

High Energy Physics - Theory · Physics 2013-05-21 Brett Altschul

We compute the one-loop matching between the Standard Model Effective Field Theory and the low-energy effective field theory below the electroweak scale, where the heavy gauge bosons, the Higgs particle, and the top quark are integrated…

High Energy Physics - Phenomenology · Physics 2022-11-21 Wouter Dekens , Peter Stoffer