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Related papers: O(N) linear sigma model beyond the Hartree approxi…

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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

We investigate the finite-temperature properties of the $S$=1/2 Shastry-Sutherland Heisenberg model using a quantum typicality method. In the intermediate plaquette state region, we naturally expect to realize the finite-temperature phase…

Strongly Correlated Electrons · Physics 2021-04-14 Tokuro Shimokawa

Spontaneous symmetry breaking can persist at all temperatures in certain biconical $\mathrm{O}(N)\times \mathbb{Z}_2$ vector models when the underlying field theories are ultraviolet complete. So far, the existence of such theories has been…

High Energy Physics - Theory · Physics 2025-01-29 Bilal Hawashin , Junchen Rong , Michael M. Scherer

We study the restoration of spontaneously broken symmetry at nonzero temperature in the framework of the O(2) model using polar coordinates. We apply the CJT formalism to calculate the masses and the condensate in the double-bubble…

Nuclear Theory · Physics 2013-05-29 Mara Grahl , Elina Seel , Francesco Giacosa , Dirk H. Rischke

We calculate the finite temperature effective potential of $\lambda\phi^4$ at the two loop order of the 2PPI expansion. This expansion contains all diagrams which remain connected when two lines meeting at the same point are cut and…

High Energy Physics - Theory · Physics 2009-11-07 G. Smet , T. Vanzielighem , K. Van Acoleyen , H. Verschelde

The effect of finite isospin chemical potential to the effective masses of the mesons at finite temperature is investigated in the framework of the O(4) linear sigma model with explicit chiral symmetry breaking. We present a mechanism to…

High Energy Physics - Phenomenology · Physics 2009-11-11 Hong Mao , Nicholas Petropoulos , Song Shu , Wei-Qin Zhao

We study the effective potential of a real scalar phi^4 theory as a function of the temperature T within the simplest Phi-derivable approximation, namely the Hartree approximation. We apply renormalization at a "high" temperature T* where…

High Energy Physics - Phenomenology · Physics 2015-03-19 Urko Reinosa , Zsolt Szep

The large N effective action of the non-linear sigma model based in the coset O(N+1)/O(N) is obtained. The renormalization of this effective action requires the introduction of an infinite set of counterterms. However, there exit particular…

High Energy Physics - Phenomenology · Physics 2009-09-25 Antonio Dobado , Antonio Lopez , John Morales

We show there exist UV-complete field-theoretic models in general dimension, including $2+1$, with the spontaneous breaking of a global symmetry, which persists to the arbitrarily high temperatures. Our example is a conformal vector model…

High Energy Physics - Theory · Physics 2022-01-12 Noam Chai , Anatoly Dymarsky , Michael Smolkin

We calculate finite temperature effects on a correlation function in the two dimensional supersymmetric nonlinear O(3) sigma model. The correlation function violates chiral symmetry and at zero temperature it has been shown to be a…

High Energy Physics - Theory · Physics 2009-10-31 J. Grundberg , J. Wirstam

Using auxiliary-mass method, O(N) invariant scalar model is investigated at finite temperature. This mass and an evolution equation allow us to calculate an effective potential without an infrared divergence. Second order phase transition…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kenzo Ogure , Joe Sato

In analogy with equilibrium phase transitions, we address the problem of the instability to symmetry-breaking perturbations of systems undergoing a laser transition. The symmetry in question is the $U(1)$ invariance with respect to a phase…

Mesoscale and Nanoscale Physics · Physics 2019-03-26 P. Gartner

We study the finite temperature symmetry behaviour of O(N_1) \times O(N_2) scalar models on the lattice and we prove that at sufficiently high temperatures and in arbitrary dimensions their full symmetry is always restored or, equivalently,…

High Energy Physics - Theory · Physics 2009-10-30 G. Bimonte , G. Lozano

Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably,…

Quantum Physics · Physics 2025-06-30 Jia-Bao Wang , Zi-Hao Dong , Yi Zhang

We compute the large $N$ effective action of the $O(N+1)/O(N)$ non-linear sigma model including the effect of the pion mass to order $m^2_{\pi}/f_{\pi}^2$. This action is more complex than the one corresponding to the chiral limit not only…

High Energy Physics - Phenomenology · Physics 2019-08-17 A. Dobado , J. Morales

We present an argument to support the existence of dissipative modes in relativistic field theories. In an O(N) $\varphi^4$ theory in spatial dimension $d\le 3$, a relaxation constant $\Gamma$ of a two-point function in an infrared region…

High Energy Physics - Phenomenology · Physics 2015-05-27 Yohei Saito , Hirotsugu Fujii , Kazunori Itakura , Osamu Morimatsu

We consider the out-of-equilibrium evolution of a classical condensate field and its quantum fluctuations for a Phi**4 model in 1+1 dimensions with a symmetric and a double well potential. We use the 2PPI formalism and go beyond the Hartree…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jurgen Baacke , Andreas Heinen

We analyze the possible quantum phase transition patterns occurring within the $O(N) \times {\mathbb{Z}_2}$ scalar multi-field model at vanishing temperatures in $(1+1)$-dimensions. The physical masses associated with the two coupled scalar…

High Energy Physics - Theory · Physics 2022-08-05 Gustavo O. Heymans , Marcus Benghi Pinto , Rudnei O. Ramos

The thermodynamics of the O(N) model in 1+1 dimensions is studied applying the CJT formalism and the auxiliary field method as well as fully nonperturbative finite temperature lattice simulations. The numerical results for the renormalized…

High Energy Physics - Phenomenology · Physics 2012-10-18 Elina Seel , Dominik Smith , Stefano Lottini , Francesco Giacosa

We prove that the Parisi measure of the mixed p-spin model at zero temperature has infinitely many points in its support. This establishes Parisi's prediction that the functional order parameter of the Sherrington-Kirkpatrick model is not a…

Probability · Mathematics 2021-06-18 Antonio Auffinger , Wei-Kuo Chen , Qiang Zeng