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We perform the all-loop renormalization of the O($N$) $\lambda\phi^{4}$ scalar field theory with Lorentz violation which is exact in the Lorentz-violating $K_{\mu\nu}$ coefficients. This task is fulfilled analytically firstly explicitly at…

High Energy Physics - Theory · Physics 2019-10-03 P. R. S. Carvalho , M. I. Sena-Junior

The one-loop divergences for the scalar field theory with Lorentz and/or CPT breaking terms are obtained in curved space-time. We analyze two separate cases: minimal coupled scalar field with gravity and nonminimal one. For the minimal case…

High Energy Physics - Theory · Physics 2018-04-04 Tibério de Paula Netto

The renormalisation group improved Standard Model effective potential in an arbitrary curved spacetime is computed to one loop order in perturbation theory. The loop corrections are computed in the ultraviolet limit, which makes them…

High Energy Physics - Phenomenology · Physics 2018-06-11 Tommi Markkanen , Sami Nurmi , Arttu Rajantie , Stephen Stopyra

Within the superfield approach, we formulate two different extensions of the Wess-Zumino model and super-QED with Horava-Lifshitz-like additive terms, discuss their quantum properties and calculate lower contributions to the effective…

High Energy Physics - Theory · Physics 2014-12-25 M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We discuss applications of the proper-time method in a Lorentz-violating extension of QED characterized by the addition of the term proportional to the antisymmetric tensor $H_{\mu\nu}$. Unlike other LV extensions of QED, in our case, the…

High Energy Physics - Theory · Physics 2026-02-03 R. Araújo , T. Mariz , J. R. Nascimento , A. Yu. Petrov

We study a QED extension that is unitary, CPT invariant and super-renormalizable, but violates Lorentz symmetry at high energies, and contains higher-dimension operators (LVQED). Divergent diagrams are only one- and two-loop. We compute the…

High Energy Physics - Phenomenology · Physics 2010-05-12 Damiano Anselmi , Martina Taiuti

The derivative expansion of the one-loop effective action in QED$_3$ and QED$_4$ is considered. The first term in such an expansion is the effective action for a constant electromagnetic field. An explicit expression for the next term…

High Energy Physics - Theory · Physics 2009-10-31 V. P. Gusynin , I. A. Shovkovy

A Lorentz symmetry violation aether-type theoretical model is considered to investigate the Casimir effect and the generation of topological mass associated with a self-interacting massive scalar fields obeying Dirichlet, Newman and mixed…

High Energy Physics - Theory · Physics 2020-08-12 M. B. Cruz , E. R. Bezerra de Mello , H. F. Santana Mota

Much has been learned about metastable vacua and R-symmetry breaking in O'Raifeartaigh models. Such work has largely been done from the perspective of the superpotential and by including Coleman-Weinberg corrections to the scalar potential.…

High Energy Physics - Phenomenology · Physics 2014-11-20 Shermane Benjamin , Christopher Freund , Ben Kain

We compute the one loop effective action for a Quantum Field Theory at finite temperature, in the presence of background gauge fields, employing the Heat-Kernel method. This method enables us to compute the thermal corrections to the Wilson…

High Energy Physics - Theory · Physics 2025-02-26 Joydeep Chakrabortty , Subhendra Mohanty

The one-loop renormalizability of the electroweak sector of the Standard Model Extension with Lorentz violation is studied. Functional determinants are used to calculate the one-loop contributions of the higgs, gauge bosons and fermions to…

High Energy Physics - Phenomenology · Physics 2009-08-03 Don Colladay , Patrick McDonald

The effective-Lagrangian description of Lorentz-invariance violation provided by the so-called Standard-Model Extension covers all the sectors of the Standard Model, allowing for model-independent studies of high-energy phenomena that might…

High Energy Physics - Phenomenology · Physics 2021-03-10 J. Alfonso Ahuatzi-Avendaño , Javier Montaño , Héctor Novales-Sánchez , Mónica Salinas , J. Jesús Toscano

From the effects of the Lorentz symmetry violation in the CPT-even gauge sector of Standard Model Extension, we establish a possible scenario where an analogue of the He-McKellar-Wilkens effect can stem from. Besides, we build quantum…

High Energy Physics - Theory · Physics 2016-11-21 A. G. de Lima , H. Belich , K. Bakke

In this short paper, we investigate the consequences of observer dependence of the quantum effective potential for an interacting field theory. Specializing to $d+2$ dimensional Euclidean Rindler space, we develop the formalism to calculate…

High Energy Physics - Theory · Physics 2026-02-27 Pallab Basu , Haridev S R , Prasant Samantray

We study the one-loop two point functions of the gauge, scalar and spinor fields for a Horava-Lifshitz-like QED with critical exponent $z=2$. It turns out that, in certain cases, the dynamical restoration of the Lorentz symmetry at low…

High Energy Physics - Theory · Physics 2015-11-24 M. Gomes , T. Mariz , J. R. Nascimento , A. Yu. Petrov , J. M. Queiruga , A. J. da Silva

This work sets out to compute the corrections to the Euler-Heisenberg effective action that arise from spacetime-dependent background anisotropies that violate Lorentz symmetry. To accomplish our task, we evaluate the functional determinant…

High Energy Physics - Theory · Physics 2026-03-24 Wagno Cesar e Silva , João Paulo S. Melo , José A. Helayël-Neto

The well-established effective action and effective potential framework from the quantum field theory domain is adapted and successfully applied to classical field theories of the Doi and Peliti type for diffusion controlled reactions.…

Statistical Mechanics · Physics 2008-11-26 David Hochberg , M. -P. Zorzano

In the SU(5)/SO(5) little Higgs models radiative corrections give rise to the SU(2)_L x U(1)_Y symmetry breaking. In this work we start a program for a detailed determination of the relevant terms of the Higgs effective potential by…

High Energy Physics - Phenomenology · Physics 2008-11-26 Antonio Dobado , Lourdes Tabares , Siannah Penaranda

Lorentz-violating Yukawa couplings lying within the renormalizable part of the SME generate Lorentz-invariant one-loop contributions to electromagnetic moments of fermions. These proceedings provide a discussion on such contributions and…

High Energy Physics - Phenomenology · Physics 2023-01-27 Javier Montaño-Domínguez , Héctor Novales-Sánchez , Mónica Salinas , J. Jesús Toscano

We include electroweak effects in Moller scattering at low energies in an effective field theory approach and compute the left-right parity-violating asymmetry. The calculation using low-energy effective field theory provides a solid…

High Energy Physics - Phenomenology · Physics 2025-12-01 Sophie Kollatzsch , Daniel Moreno , David Radic , Adrian Signer
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