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We analyze in detail a second order phase transition that occurs in large N Gaussian multi-matrix models in which the matrices are constrained to be commuting. The phase transition occurs as the relative masses of the matrices are varied,…

High Energy Physics - Theory · Physics 2007-07-02 Ofer Aharony , Sean A. Hartnoll

We apply the $\delta$-expansion perturbation scheme to the $\lambda \phi^{4}$ self-interacting scalar field theory in 3+1 D at finite temperature. In the $\delta$-expansion the interaction term is written as $\lambda (\phi^{2})^{ 1 +…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rudnei O. Ramos

The phase transition in a 3D array of classical anharmonic oscillators with harmonic nearest-neighbour coupling (discrete $\phi^4$ model) is studied by Monte Carlo (MC) simulations and by analytical methods. The model allows to choose a…

Statistical Mechanics · Physics 2009-10-31 A. N. Rubtsov , J. Hlinka , T. Janssen

The effect of the external field on the weakly-discontinuous first-order phase transition is analyzed in the frame of the Landau theory. The transformation of the free energy expansion as a power series in the order parameter is suggested…

Condensed Matter · Physics 2007-05-23 M. A. Fradkin

We use the non-perturbative renormalization group to clarify some features of perturbation theory in thermal field theory. For the specific case of the scalar field theory with O(N) symmetry, we solve the flow equations within the local…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jean-Paul Blaizot , Andreas Ipp , Ramon Mendez-Galain , Nicolas Wschebor

We study first-order phase transitions in a two-temperature system, where due to the time-scale separation all the basic thermodynamical quantities (free energy, entropy, etc) are well-defined. The sign of the latent heat is found to be…

Statistical Mechanics · Physics 2009-11-11 A. E. Allahverdyan , K. G. Petrosyan

The large N limit of the Gross-Neveu model is here studied on manifolds with constant curvature, at zero and finite temperature. Using the zeta-function regularization, the phase structure is investigated for arbitrary values of the…

High Energy Physics - Theory · Physics 2009-10-31 Patrizia Vitale

We study strongly coupled lattice QCD with $N$ colors of staggered fermions in 3+1 dimensions. While mean field theory describes the low temperature behavior of this theory at large $N$, it fails in the scaling region close to the finite…

High Energy Physics - Lattice · Physics 2009-11-10 Shailesh Chandrasekharan , Costas G. Strouthos

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P\_4$. The…

Statistical Mechanics · Physics 2016-08-16 Ana Fariñas-Sanchez , Ricardo Paredes , Bertrand Berche

We develop an analogy between fluids and black holes to study phase transitions in the latter. The entropy-temperature graph shows the onset of a phase transition without any latent heat. The nature of this continuous (higher order) phase…

General Relativity and Quantum Cosmology · Physics 2011-01-13 Rabin Banerjee , Sujoy Kumar Modak , Saurav Samanta

We study the phase diagram of the 4d compact U(1) gauge theory as a function of the number of Euclidean time slices. We use the helicity modulus as order parameter to probe the phase transitions. The order of the transition along the phase…

High Energy Physics - Lattice · Physics 2009-11-10 Michele Vettorazzo , Philippe de Forcrand

We investigate a phase transition of the O(N) invariant scalar model using the auxiliary mass method. We determine the critical exponent $\beta$ by calculating an effective potential below the critical temperature. This work follows that of…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Ogure , J. Sato

The most important recent results in the theory of phase transitions and quantum effects in quantum anharmonic crystals are presented and discussed. In particular, necessary and sufficient conditions for a phase transition to occur at some…

Statistical Mechanics · Physics 2015-06-04 Sergio Albeverio , Yuri Kozitsky , Yuri Kondratiev , Michael Roeckner

Two-level atoms interacting with a one mode cavity field at zero temperature have order parameters which reflect the presence of a quantum phase transition at a critical value of the atom-cavity coupling strength. Two popular examples are…

Quantum Physics · Physics 2015-06-11 J. G. Hirsch , O. Castaños , E. Nahmad-Achar , R. López-Penã

We investigate finite-temperature observables in three-dimensional large $N$ critical vector models taking into account the effects suppressed by $1\over N$. Such subleading contributions are captured by the fluctuations of the…

High Energy Physics - Theory · Physics 2024-04-24 Oleksandr Diatlyk , Fedor K. Popov , Yifan Wang

In the ``Type-II'' regime, $m_{\rm Higgs}\gap m_{\rm gauge}$, the finite-temperature phase transition in spontaneously-broken gauge theories (including the standard model) must be be studied using a renormalization group treatment. Previous…

High Energy Physics - Phenomenology · Physics 2009-10-22 John March-Russell

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev

We introduce a novel characterization of phase transitions based on hypothesis testing. In our formulation, a phase transition is defined as the breakdown of statistical indistinguishability under vanishing parameter perturbations in the…

Statistical Mechanics · Physics 2026-04-20 Taiyo Narita , Hideyuki Miyahara

In this Letter, we numerically present the possibility of the first-order phase transition occurring through the thermal fluctuation in the early universe. We find that when the temperature is slightly higher than the mass scale of the…

High Energy Physics - Phenomenology · Physics 2025-05-22 Ligong Bian , Yuefeng Di , Yongtao Jia , Yang Li , Kehao Zeng

We perform a nonperturbative lattice study of the electroweak phase transition in the real singlet scalar extension of the Standard Model.We consider both the heavy and light singlet-like scalar regimes at non-zero singlet-doublet mixing…

High Energy Physics - Phenomenology · Physics 2024-08-13 Lauri Niemi , Michael J. Ramsey-Musolf , Guotao Xia