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We review how a specific resummation of the so-called "delta-expansion", applied to the QCD Lagrangian, transforms the ordinary perturbative expansion in $\alpha_s$ into an expansion in an arbitrary mass parameter, around the basic scale…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. -L. Kneur

We have applied the recently proposed renormalization group improvement procedure of the finite temperature effective potential, and have investigated extensively the phase structure of the massive scalar $\phi^4$ model, showing that the…

High Energy Physics - Phenomenology · Physics 2011-04-15 Hisao Nakkagawa , Hiroshi Yokota

We revisit the problem of spontaneous symmetry breaking (SSB), its restoration, and phase transition for a self interacting quantum scalar field in a general curved background, at zero and finite temperature. To the best of our knowledge,…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Vishal Nath , Sourav Bhattacharya

Criticality of chiral phase transition at finite temperature is investigated in a soft-wall AdS/QCD model with $SU_L(N_f)\times SU_R(N_f)$ symmetry, especially for $N_f=2,3$ and $N_f=2+1$. It is shown that in quark mass plane($m_{u/d}-m_s$)…

High Energy Physics - Phenomenology · Physics 2019-02-20 Jianwei Chen , Song He , Mei Huang , Danning Li

We investigate the renormalizability of the classical $\phi^4$ theory at finite temperature. We calculate the time-dependent two point function to two loop order and show that it can be rendered finite by the counterterms of the classical…

High Energy Physics - Phenomenology · Physics 2009-10-30 Gert Aarts , Jan Smit

It has been shown how on-shell forward scattering amplitudes (the ``Barton expansion'') and quantum mechanical path integral (QMPI) can both be used to compute temperature dependent effects in thermal field theory. We demonstrate the…

High Energy Physics - Theory · Physics 2009-10-30 F T Brandt , D G C McKeon

We develop a systematic method for solving the 3-loop $\Phi$-derivable approximation to the thermodynamics of the massless $\phi^4$ field theory. The method involves expanding sum-integrals in powers of $g^2$ and m/T, where g is the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Eric Braaten , Emmanuel Petitgirard

We investigate the effective potential for a scalar $\Phi^{4}$ theory with spontaneous symmetry breaking at finite temperature. All 'daisy' and 'super daisy' diagrams are summed up and the properties of the corresponding gap eqation are…

High Energy Physics - Theory · Physics 2009-09-25 M. Bordag , V. Skalozub

For an O(N) symmetric scalar field theory with Euclidean action integral d^3x [1/2 |nabla phi|^2 + 1/2 r phi^2 + 1/4! u phi^4], where phi = (phi_1,...,phi_N) is a vector of N real field components, variational perturbation theory through…

Statistical Mechanics · Physics 2007-05-23 Boris Kastening

We revisit scalar $\phi^4$ theory and construct a reorganized perturbative expansion in which the kinetic operator, rather than the quartic interaction, is treated as the perturbation. Starting from the exactly solvable $0$-dimensional…

High Energy Physics - Theory · Physics 2026-02-17 Eugene Chen

Recently, non-perturbative approximate solutions were presented that go beyond the well-known mean-field resummation. In this work, these non-perturbative approximations are used to calculate finite temperature equilibrium properties for…

High Energy Physics - Theory · Physics 2020-04-22 Paul Romatschke

On the basis recent seven-loop perturbation expansion for nu^{-1} = 3/(2 - alpha) we perform a careful reinvestigation of the critical exponent alpha governing the power behavior |T_c-T|^{- alpha} of the specific heat of superfluid helium…

Condensed Matter · Physics 2009-10-31 Hagen Kleinert

We derive an analytic expression for the temperature dependent critical magnetic field parallel to ultrathin superconducting films with Rashba spin-orbit interaction. Thereby we cover the range from small to large spin-orbit interactions…

Superconductivity · Physics 2017-07-10 Gertrud Zwicknagl , Simon Jahns , Peter Fulde

In this paper a resummation method inspired by the renormalization-group improvement is applied to the one-loop effective potential (EP) in massive scalar $\phi^4$ model at $T\neq0$. By investigating the phase structure of the model at $T…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hisao Nakkagawa , Hiroshi Yokota

We discuss the thermal behaviour of the pion vector form factors and calculate them in one-loop Chiral Perturbation Theory. The perturbative result is used to analyze the $T$-dependent electromagnetic pion charge radius, obtaining a rough…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gomez Nicola , F. J. LLanes-Estrada , J. R. Pelaez

High order perturbation theory corrections to the superfluid transition temperature in a weakly interacting Fermi gas with repulsive interaction are calculated. This involves calculating the contributions of third and fourth order diagrams…

Superconductivity · Physics 2009-10-31 D. V. Efremov , M. S. Mar'enko , M. A. Baranov , M. Yu. Kagan

The gravitational collapse of a massless scalar field with a self-interaction term $\lambda\phi^4$ in anti-de Sitter space is investigated. We numerically investigate the effect of the self-interaction term on the critical amplitudes,…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Rong-Gen Cai , Li-Wei Ji , Run-Qiu Yang

The effective action is computed for the \lphi--theory at finite temperature for small perturbations about a constant background field, using a generalized tadpole method. We find the complete effective action, including the real and…

High Energy Physics - Phenomenology · Physics 2009-10-22 Per Elmfors , Kari Enqvist , Iiro Vilja

We study the critical point for finite temperature Nf=3 QCD using several temporal lattice sizes up to 10. In the study, the Iwasaki gauge action and non-perturbatively O(a) improved Wilson fermions are employed. We estimate the critical…

High Energy Physics - Lattice · Physics 2017-10-24 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

We study the scaling dimension $\Delta_{\phi^n}$ of the operator $\phi^n$ where $\phi$ is the fundamental complex field of the $U(1)$ model at the Wilson-Fisher fixed point in $d=4-\varepsilon$. Even for a perturbatively small fixed point…

High Energy Physics - Theory · Physics 2020-06-05 Gil Badel , Gabriel Cuomo , Alexander Monin , Riccardo Rattazzi