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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

The primordial power spectrum informs the possible inflationary histories of our universe. Given a power spectrum, the ensuing cosmic microwave background is calculated and compared to the observed one. Thus, one focus of modern cosmology…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-25 Ira Wolfson

We examine the behavior of the standard-model electroweak phase transition in the early Universe. We argue that close to the critical temperature it is possible to estimate the {\it effective} infrared corrections to the 1-loop potential…

High Energy Physics - Phenomenology · Physics 2009-10-22 Marcelo Gleiser , Edward W. Kolb

We calculate effective potentials in scalar field theories on the maximally supersymmetric pp-wave background in ten dimensions. For this purpose we have to work in the light-cone formulation, and hence we introduce two methods to compute…

High Energy Physics - Theory · Physics 2009-11-10 Kunihito Uzawa , Kentaroh Yoshida

Effective theories are well established theoretical frameworks to describe the effect of energetically widely separated UV models on observables at lower energy scales. Due to the complexity of the effective theory when taking all the…

High Energy Physics - Phenomenology · Physics 2021-03-31 Supratim Das Bakshi , Joydeep Chakrabortty , Michael Spannowsky

We construct a new coarse-grained effective potential which enables us to estimate the probabilities of thermal fluctuations above an arbitrary threshold at different length scales.

High Energy Physics - Phenomenology · Physics 2009-10-22 Mark Hindmarsh , R. J. Rivers

The real and imaginary scattering phase shifts (SPS) and potentials for $\ell=0,2,4$ partial waves have been obtained by developing a novel algorithm$^{\ref{Fig1}}$ to derive inverse potentials using a phenomenological approach. The phase…

Nuclear Theory · Physics 2024-12-20 Shikha Awasthi , Ishwar Kant , Anil Khachi , O. S. K. S. Sastri

We set up a method for a recursive calculation of the effective potential which is applied to a cubic potential with imaginary coupling. The result is resummed using variational perturbation theory (VPT), yielding an exponentially fast…

Quantum Physics · Physics 2009-12-06 Sebastian F. Brandt , Hagen Kleinert , Axel Pelster

An inflationary universe scenario in the context of tachyon field is studied. This study is done from an ansantz for the effective potential of cosmological perturbations $U(\eta)$. We describe in great detail the analytical solutions of…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Ramon Herrera , Roberto G. Perez

The decay rate for a particle in a metastable cubic potential is investigated in the quantum regime by the Euclidean path integral method in semiclassical approximation. The imaginary time formalism allows one to monitor the system as a…

Statistical Mechanics · Physics 2008-04-22 Marco Zoli

We apply optimized perturbation theory to the quark-meson model at finite temperature T and quark chemical potential mu. The effective potential is calculated to one loop both in the chiral limit and at the physical point and used to study…

High Energy Physics - Phenomenology · Physics 2011-02-15 Jens O. Andersen , Rashid Khan , Lars T. Kyllingstad

The gauge-Higgs unification is one of influential scenarios to solve the hierarchy problem in the Standard Model. Recently, the scenario on the warped background attracts many attentions due to a large possibility to construct a realistic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Naoyuki Haba , Shigeki Matsumoto , Nobuchika Okada , Toshifumi Yamashita

The effective approach is applied to the analysis of inflationary magnetogenesis. Rather than assuming a particular underlying description, all the generally covariant terms potentially appearing with four space-time derivatives in the…

High Energy Physics - Theory · Physics 2021-07-15 Massimo Giovannini

We calculate the one loop effective potential for a 5D SU(2) gauge field theory at finite temperature $T=1/\beta$ and radius R=1/M. This calculation is performed, for the first time, in the case of background fields with two constant…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Farakos , P. Pasipoularides

We consider the effective potential in three-dimensional models with O(N) symmetry. For generic values of N, and in particular for the physically interesting cases N=0,1,2,3, we determine the six-point and eight-point renormalized coupling…

Statistical Mechanics · Physics 2009-10-31 A. Pelissetto , E. Vicari

The effective potential of $\lambda\phi^4_{1+3}$ model with both sign of parameter $m^2$ is evaluated at T=0 by means of a simple but effective method for regularization and renormalization. Then at $T\ne 0$, the effective potential is…

High Energy Physics - Theory · Physics 2007-05-23 Guang-jiong Ni , Su-qing Chen

Using the exactly solvable Gross-Neveu model as theoretical laboratory, we analyse in detail the relationship between a relativistic quantum field theory at real and imaginary chemical potential. We find that one can retrieve the full…

High Energy Physics - Theory · Physics 2008-11-26 Felix Karbstein , Michael Thies

We explore the capabilities of a future proton collider to probe the nature of the electro-weak phase transition, following the hypothetical discovery of a new scalar particle. We focus on the real singlet scalar field extension of the…

High Energy Physics - Phenomenology · Physics 2022-03-03 Andreas Papaefstathiou , Graham White

In recent works, we have shown how $n$-point correlation functions in perturbative QFT can be computed without running into intermediate divergences. Here we want to illustrate explicitly that one can calculate the quantum effective…

High Energy Physics - Theory · Physics 2024-08-02 Sander Mooij , Mikhail Shaposhnikov

We discuss some applications of the effective quantum field theory to the description of the physics beyond the Standard Model. We consider two different examples. In the first one we derive, at the one-loop level, an effective lagrangian…

High Energy Physics - Phenomenology · Physics 2016-09-01 Mikhail Bilenky , Arcadi Santamaria