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Massless $\phi^{4}$-theory is investigated in zero and four space-time dimensions. Path-integral linearisation of the $\phi ^{4}$-interaction defines an effective theory, which is investigated in a loop-expansion around the mean field. In…

High Energy Physics - Phenomenology · Physics 2009-10-22 K. Langfeld , L. v. Smekal , H. Reinhardt

We derive the hard thermal loop action for soft electromagnetic fields in the finite temperature world-line formulation at imaginary time, by first integrating out the hard fermion modes from the microscopic QED action. Further, using the…

High Energy Physics - Theory · Physics 2009-11-07 R. Venugopalan , J. Wirstam

We compute higher order contributions to the free energy of noncommutative quantum electrodynamics at a nonzero temperature $T$. Our calculation includes up to three-loop contributions (fourth order in the coupling constant $e$). In the…

High Energy Physics - Theory · Physics 2009-09-29 F. T. Brandt , J. Frenkel , C. M. Muramoto

We calculate the one-loop effective potential at finite temperature for the Horava-Lifshitz-like QED and Yukawa-like theories for arbitrary values of the critical exponent and the space-time dimension. Additional remarks on the zero…

High Energy Physics - Theory · Physics 2014-01-29 C. F. Farias , M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We consider the one-loop effective potential at zero and finite temperature in scalar field theories with anisotropic space-time scaling. For $z=2$, there is a symmetry breaking term induced at one-loop at zero temperature and we find…

High Energy Physics - Theory · Physics 2015-05-30 K. Farakos , D. Metaxas

We apply Renormalization Group techniques to the Real Time formulation of thermal field theory. Due to the separation between the $T=0$ and the $T\neq 0$ parts of the propagator in this formalism, one can derive exact evolution equations…

High Energy Physics - Phenomenology · Physics 2009-10-28 Marco D'Attanasio , Massimo Pietroni

We review the use of Wilsonian renormalization group methods for quantum field theories at finite temperature. The implementations within both real and imaginary time formalism is carefully discussed. In particular, the question of gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Daniel F. Litim

We newly develop a renormalization group (RG) improvement for thermally resummed effective potentials. In this method, $\beta$-functions are consistently defined in resummed perturbation theories, so that order-by-order RG invariance is not…

High Energy Physics - Phenomenology · Physics 2024-03-12 Koichi Funakubo , Eibun Senaha

We discuss resummation strategies for free energy in quantum field theories at nonzero temperatures T. We point out that resummations should be performed for the short- and long-distance parts separately in order to avoid spurious…

High Energy Physics - Phenomenology · Physics 2009-11-07 G. Cvetic , R. Koegerler

We consider quantum corrections to a kink of noncommutative supersymmetric phi^4 theory in 1+1 dimensions. Despite the presence of an infinite number of time derivatives in the action, we are able to define supercharges and a Hamiltonian by…

High Energy Physics - Theory · Physics 2009-12-04 D. V. Vassilevich

We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with…

Statistical Mechanics · Physics 2013-08-21 J. O. Indekeu , K. Koga , H. Hooyberghs , A. O. Parry

The one--loop effective action for a slowly varying electromagnetic field is computed at finite temperature and density using a real-time formalism. We discuss the gauge invariance of the result. Corrections to the Debye mass from an…

High Energy Physics - Theory · Physics 2009-10-28 Per Elmfors , Bo-Sture Skagerstam

We study numerically the paramagnetic phase of the spin-1/2 random transverse-field Ising chain, using a mapping to non-interacting fermions. We extend our earlier work, Phys. Rev. 53, 8486 (1996), to finite temperatures and to dynamical…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. P. Young

We consider quantum-to-classical mapping for an arbitrary system of interacting spins at finite temperatures. We prove that, in the large-$S$ limit, the asymptotic form of the partition function coincides with that of a classical model for…

Statistical Mechanics · Physics 2026-02-19 A. El Mendili , M. E. Zhitomirsky

We demonstrate how one can construct renormalizable perturbative expansion in formally nonrenormalizable higher dimensional scalar theories. It is based on 1/N-expansion and results in a logarithmically divergent perturbation theory in…

High Energy Physics - Theory · Physics 2007-05-23 D. I. Kazakov , G. S. Vartanov

Quantum non-local correlations and the acausal, spooky action at a distance suggest a discord between quantum theory and special relativity. We propose a resolution for this discord by first observing that there is a problem of time in…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Shreya Banerjee , Sayantani Bera , T. P. Singh

Using the functional renormalization group, we study the depinning of elastic objects in presence of anisotropy. We explicitly demonstrate how the KPZ-term is always generated, even in the limit of vanishing velocity, except where excluded…

Condensed Matter · Physics 2009-11-07 Pierre Le Doussal , Kay Joerg Wiese

Global conformal invariance (GCI) of quantum field theory (QFT) in two and higher space-time dimensions implies the Huygens' principle, and hence, rationality of correlation functions of observable fields (see Commun. Math. Phys. 218 (2001)…

High Energy Physics - Theory · Physics 2009-11-10 Nikolay M. Nikolov , Ivan T. Todorov

The fractional heat operator $(\partial_t-\Delta_x)^s$ and Continuous Time Random Walks (CTRWs) are interesting and sophisticated mathematical models that can describe complex anomalous systems. In this paper, we prove asymptotic mean value…

Analysis of PDEs · Mathematics 2022-01-20 Carmina Fjellström , Kaj Nyström , Yuqiong Wang

We consider a neutral self-interacting massive scalar field defined in a d-dimensional Euclidean space. Assuming thermal equilibrium, we discuss the one-loop perturbative renormalization of this theory in the presence of rigid boundary…

High Energy Physics - Theory · Physics 2009-11-10 N. F. Svaiter