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Related papers: Solution to the 3-loop $\Phi$-derivable Approximat…

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We study the "three particle coupling" $\Gamma_{11}^{1}(\xi)$, in $2d$ Ising Field Theory in a magnetic field, as the function of the scaling parameter $\xi:=h/(-m)^{15/8}$, where $m \sim T_c-T$ and $h \sim H$ are scaled deviation from the…

High Energy Physics - Theory · Physics 2023-08-02 Hao-Lan Xu , Alexander Zamolodchikov

A recently developed variant of the so-called optimized perturbation theory (OPT), making it perturbatively consistent with renormalization group (RG) properties, RGOPT, was shown to drastically improve its convergence for zero temperature…

High Energy Physics - Phenomenology · Physics 2015-12-30 J. -L. Kneur , M. B. Pinto

We present a systematic semiclassical procedure to compute the partition function for scalar field theories at finite temperature. The central objects in our scheme are the solutions of the classical equations of motion in imaginary time,…

High Energy Physics - Phenomenology · Physics 2010-02-03 A. Bessa , C. A. A. de Carvalho , E. S. Fraga , F. Gelis

2+1 dimensional massless scalar QED with $(\phi^*\phi)^3$ scalar self-coupling is modified by the addition of a non- minimal Chern-Simons term that couples the dual of the electromagnetic field strength to the covariant current of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. E. Carrington , G. Kunstatter

We study a non-commutative non-relativistic scalar field theory in 2+1 dimensions. The theory shows the UV/IR mixing typical of QFT on non-commutative spaces. The one-loop correction to the two-point function turns out to be given by a…

High Energy Physics - Theory · Physics 2009-10-31 Joaquim Gomis , Karl Landsteiner , Esperanza Lopez

We perform a detailed numerical investigation of the dynamics of broken symmetry $\lambda \phi^4$ field theory in 1+1 dimensions using a Schwinger-Dyson equation truncation scheme based on ignoring vertex corrections. In an earlier paper,…

High Energy Physics - Phenomenology · Physics 2014-11-17 Fred Cooper , John F. Dawson , Bogdan Mihaila

The off-shell one-loop renormalization of a Higgs effective field theory possessing a scalar potential $\sim\left(\Phi^\dagger\Phi-\frac{v^2}2\right)^N$ with $N$ arbitrary is presented. This is achieved by renormalizing the theory once…

High Energy Physics - Theory · Physics 2018-04-18 Daniele Binosi , Andrea Quadri

We work with $\phi^4$ theory and study the 4PI effective action at 3-loop order. We discuss the relationship between the equations of motion obtained by taking functional derivatives of the effective action with respect to the variational…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Carrington

A new formulation of the thermodynamic field theory (TFT) is presented. In this new version, one of the basic restriction in the old theory, namely a closed-form solution for the thermodynamic field strength, has been removed. In addition,…

Statistical Mechanics · Physics 2013-05-29 Giorgio Sonnino

We calculate the three-loop thermodynamic potential of QCD at finite temperature and chemical potential(s) using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature and density QCD. The resulting analytic…

High Energy Physics - Phenomenology · Physics 2016-03-15 Najmul Haque , Aritra Bandyopadhyay , Jens O. Andersen , Munshi G. Mustafa , Michael Strickland , Nan Su

We show that the one-loop effective action at finite temperature for a scalar field with quartic interaction has the same renormalized expression as at zero temperature if written in terms of a certain classical field $\phi_c$, and if we…

High Energy Physics - Phenomenology · Physics 2014-11-21 A. Bessa , F. T. Brandt , C. A. A. de Carvalho , E. S. Fraga

The strong evidence for the `triviality' of (lambda Phi^4)_4 theory is not incompatible with spontaneous symmetry breaking. Indeed, for a `trivial' theory the effective potential should be given exactly by the classical potential plus the…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Consoli , P. M. Stevenson

An effective field theory approach is developed for calculating the thermodynamic properties of a field theory at high temperature $T$ and weak coupling $g$. The effective theory is the 3-dimensional field theory obtained by dimensional…

High Energy Physics - Phenomenology · Physics 2016-09-01 Eric Braaten , Agustin Nieto

The simplest non commutative renormalizable field theory, the $\phi_4$ model on four dimensional Moyal space with harmonic potential is asymptotically safe up to three loops, as shown by H. Grosse and R. Wulkenhaar, M. Disertori and V.…

High Energy Physics - Theory · Physics 2008-11-26 M. Disertori , R. Gurau , J. Magnen , V. Rivasseau

Abst\-ract: A hierarchy of effective three-dimensional theories of finite temperature electroweak matter is studied. First an integration over non-static modes leads to an effective theory containing a gauge field $A_{i}^{a}$, an adjoint…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Jakovác , K. Kajantie , A. Patkós

In this talk, we report our recent studies on an effective thermodynamic potential (Omega_eff) at finite temperature (T>0) and zero quark-chemical potential (mu_R=0), using the singular-gauge instanton solution and Matsubara formula for…

High Energy Physics - Phenomenology · Physics 2015-05-27 Seung-il Nam

We generalize quintom to include the tachyonic kinetic term along with the classical one. For such a model we obtain the expressions for energy density and pressure. For the spatially flat, homogeneous and isotropic Universe with…

General Relativity and Quantum Cosmology · Physics 2019-01-09 O. Sergijenko

We review the proposal to resum the physics of hard thermal loops in the thermodynamics of the quark-gluon plasma through nonperturbative expressions for entropy and density obtained from a Phi-derivable two-loop approximation. A comparison…

High Energy Physics - Phenomenology · Physics 2017-08-23 Anton Rebhan

We complete the perturbative program for equilibrium thermodynamics of cosmological first-order phase transitions by determining the finite-temperature effective potential of gauge-Higgs theories at next-to-next-to-next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2024-05-29 Andreas Ekstedt , Philipp Schicho , Tuomas V. I. Tenkanen

We compute the free energy density for pure non-Abelian gauge theory at high temperature and zero chemical potential. The three-loop result to $O(g^4)$ is [a lovely formula. Get the paper and print it out.] We examine the sensitivity of…

High Energy Physics - Phenomenology · Physics 2010-02-16 Peter Arnold , Chengxing Zhai