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Phase transitions are divided into first-order phase transitions and continuous ones in current classification. While the latter shows striking phenomena of scaling and universality, the former is generically characterized by discontinuous…

Statistical Mechanics · Physics 2026-05-04 Jiapeng Yang , Fan Zhong

We propose inverse renormalization group transformations within the context of quantum field theory that produce the appropriate critical fixed point structure, give rise to inverse flows in parameter space, and evade the critical slowing…

High Energy Physics - Lattice · Physics 2022-02-25 Dimitrios Bachtis , Gert Aarts , Francesco Di Renzo , Biagio Lucini

We study the phase structure of the (3+1)-dimensional cold and dense QCD with the Kogut--Susskind quark in the strong coupling limit using the tensor renormalization group method. The chiral and nuclear transitions are investigated by…

High Energy Physics - Lattice · Physics 2026-01-29 Yuto Sugimoto , Shinichiro Akiyama , Yoshinobu Kuramashi

We study the continuous phase transition and thermodynamic observables in the three-dimensional Euclidean $SU(2)$ principal chiral field model with the triad tensor renormalization group (tTRG) and the anisotropic tensor renormalization…

High Energy Physics - Lattice · Physics 2024-09-04 Shinichiro Akiyama , Raghav G. Jha , Judah Unmuth-Yockey

We present numerical results on bubble profiles, nucleation rates and time evolution for a weakly first-order quark-hadron phase transition in different expansion scenarios. We confirm the standard picture of a cosmological first-order…

High Energy Physics - Phenomenology · Physics 2009-11-13 B. W. Mintz , A. Bessa , E. S. Fraga

We employ the machinery of smooth scaling and coarse-graining of observables, developed recently by us in the context of so-called fluctuation operators (inspired by prior work of Verbeure et al) to make a rigorous renormalisation group…

Mathematical Physics · Physics 2007-05-23 Manfred Requardt

We study critical and universal behaviors of unitary invariant non-gaussian random matrix ensembles within the framework of the large-N renormalization group. For a simple double-well model we find an unstable fixed point and a stable…

High Energy Physics - Theory · Physics 2009-10-30 S. Higuchi , C. Itoi , S. M. Nishigaki , N. Sakai

Using perturbative renormalization group we investigate the influence of random velocity field on the critical behavior of directed bond percolation process near its second-order phase transition between absorbing and active phase.…

Chaotic Dynamics · Physics 2016-08-25 M. Dančo , M. Hnatič , T. Lučivjanský , L. Mižišin

The permutation model is a classical spin system where elements of the symmetric group interact with one another. The partition function of this model is directly related to the entanglement structure of random quantum circuits and random…

Statistical Mechanics · Physics 2026-05-26 Ryuki Ito , Taisei Matsuo , Masayuki Ohzeki

Strongly coupled confining models with a first order phase transition present an interesting DM candidate. Near the critical temperature these models are strongly non-perturbative, and the critical bubble nucleation rate has so far only…

High Energy Physics - Lattice · Physics 2025-01-30 Kari Rummukainen , Riikka Seppä , David J. Weir

In this paper we study a renormalization-group map: the block averaging transformation applied to Gibbs measures relative to a class of finite range lattice gases, when suitable strong mixing conditions are satisfied. Using block decimation…

Statistical Mechanics · Physics 2015-06-25 L. Bertini , E. N. M. Cirillo , E. Olivieri

We advocate a (Wilson) renormalization-group (RG) treatment of finite-temperature first-order phase transitions, in particular those driven by radiative corrections such as occur in the standard model, and other spontaneously-broken gauge…

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

We introduce the general formulation of a renormalization method suitable to study the critical properties of non-equilibrium systems with steady-states: the Dynamically Driven Renormalization Group. We renormalize the time evolution…

Statistical Mechanics · Physics 2008-02-03 Alessandro Vespignani , Stefano Zapperi , Vittorio Loreto

We give a heuristic argument for disorder rounding of a first order quantum phase transition into a continuous phase transition. From both weak and strong disorder analysis of the the N-color quantum Ashkin-Teller model in one spatial…

Disordered Systems and Neural Networks · Physics 2008-01-08 Pallab Goswami , David Schwab , Sudip Chakravarty

Criticality and symmetry, studied by the renormalization groups, lie at the heart of modern physics theories of matters and complex systems. However, surveying these properties with massive experimental data is bottlenecked by the…

Statistical Mechanics · Physics 2024-01-30 Yang Tian , Yizhou Xu , Pei Sun

The real-space renormalisation group method can be applied to the Chalker-Coddington model of the quantum Hall transition to provide a convenient numerical estimation of the localisation critical exponent, $\nu$. Previous such studies found…

Disordered Systems and Neural Networks · Physics 2024-09-12 Syl Shaw , Rudolf A. Römer

The usual procedure of including a finite number of vertices in Non Perturbative Renormalization Group equations in order to obtain $n$-point correlation functions at finite momenta is analyzed. This is done by exploiting a general method…

High Energy Physics - Theory · Physics 2008-11-26 Diego Guerra , Ramon Mendez-Galain , Nicolas Wschebor

We derive an exact renormalization group recursion relation for the Loschmidt amplitude of the quantum $Q$-state clock model and the quantum $Q$-state Potts model in one dimension. The renormalization group flow is discussed in detail. The…

Statistical Mechanics · Physics 2020-10-08 Yantao Wu

False vacuum decay in quantum mechanical first order phase transitions is a phenomenon with wide implications in cosmology, and presents interesting theoretical challenges. In the standard approach, it is assumed that false vacuum decay…

High Energy Physics - Theory · Physics 2022-02-23 Dalila Pirvu , Jonathan Braden , Matthew C. Johnson

We derive and solve flow equations for a general O(N)-symmetric effective potential including wavefunction renormalization corrections combined with a heat-kernel regularization. We investigate the model at finite temperature and study the…

High Energy Physics - Phenomenology · Physics 2009-10-31 O. Bohr , B. -J. Schaefer , J. Wambach