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We study the critical exponents of the superconducting phase transition in the context of renormalization group theory starting from a dual formulation of the Ginzburg-Landau theory. The dual formulation describes a loop gas of Abrikosov…

Condensed Matter · Physics 2016-08-31 Michael Kiometzis , Hagen Kleinert , Adriaan M. J. Schakel

The low temperature phase diagram of 1D weakly disordered quantum systems like charge or spin density waves and Luttinger liquids is studied by a \emph{full finite temperature} renormalization group (RG) calculation. For vanishing quantum…

Strongly Correlated Electrons · Physics 2008-06-24 Andreas Glatz , Thomas Nattermann

We calculate the renormalization group flows of all perturbatively renormalizable interactions in the three-dimensional Ginzburg-Landau potential for the chiral phase transition of three-flavor quantum chromodynamics. On the contrary to the…

High Energy Physics - Phenomenology · Physics 2022-05-03 G. Fejos

The low temperature phase diagram of 1D disordered quantum systems like charge or spin density waves, superfluids and related systems is considered by a full finite T renormalization group approach, presented here for the first time. At…

Strongly Correlated Electrons · Physics 2009-11-07 Andreas Glatz , Thomas Nattermann

Continuous phase transitions in equilibrium statistical mechanics were successfully described 50 years ago with the development of the renormalization group framework. This framework was initially developed in the context of phase…

Strongly Correlated Electrons · Physics 2023-07-07 T. Senthil

The interplay of magnetic and superconducting fluctuations in two dimensional systems with van Hove singularities in the electronic spectrum is considered within the functional renormalization group (fRG) approach. While the fRG flow has to…

Strongly Correlated Electrons · Physics 2010-05-03 A. Katanin

We present an analytical strong-disorder renormalization group theory of the quantum phase transition in the dissipative random transverse-field Ising chain. For Ohmic dissipation, we solve the renormalization flow equations analytically,…

Strongly Correlated Electrons · Physics 2008-06-23 J. A. Hoyos , Thomas Vojta

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

The order of the chiral phase transition in two-color and two-flavor QC$_2$D is investigated using the functional renormalization group (FRG) technique in an effective model setting. We calculate the $\beta$ function of all couplings in the…

High Energy Physics - Phenomenology · Physics 2025-04-25 G. Fejos , D. Suenaga

We consider two-dimensional Fermi systems with quadratic band touching and $C_3$ symmetry, as realizable in Bernal-stacked honeycomb bilayers. Within a renormalization-group analysis, we demonstrate the existence of a quantum critical point…

Strongly Correlated Electrons · Physics 2018-12-20 Shouryya Ray , Matthias Vojta , Lukas Janssen

We investigate critical phenomena in the $O(2)$ models using symmetry-twisted partition functions that can be efficiently computed within the tensor renormalization group framework. We first demonstrate, taking the three-dimensional model…

High Energy Physics - Lattice · Physics 2026-03-04 Shinichiro Akiyama , Raghav G. Jha , Jun Maeda , Yuya Tanizaki , Judah Unmuth-Yockey

A quenched second order phase transition is modeled by an effective $\Phi^4$-theory with a time-dependent Hamiltonian $\hat{H} (t)$, whose symmetry is broken spontaneously in time. The quantum field evolves out of equilibrium…

High Energy Physics - Phenomenology · Physics 2009-11-07 Sang Pyo Kim , Supratim Sengupta , F. C. Khanna

The functional renormalization group (FRG) provides a flexible tool to study correlations in low-dimensional electronic systems. In this paper, we present a novel FRG approach to the steady-state of quantum wires out of thermal equilibrium.…

Strongly Correlated Electrons · Physics 2020-12-08 Christian Klöckner , Dante Marvin Kennes , Christoph Karrasch

We propose a new approximation scheme to solve the Non Perturbative Renormalization Group equations and obtain the full momentum dependence of $n$-point functions. This scheme involves an iteration procedure built on an extension of the…

Statistical Mechanics · Physics 2010-12-17 Jean-Paul Blaizot , Ramon Mendez Galain , Nicolas Wschebor

The phase transition to superfluidity and the BCS-BEC crossover for an ultracold gas of fermionic atoms is discussed within a functional renormalization group approach. Non-perturbative flow equations, based on an exact renormalization…

Quantum Gases · Physics 2015-03-13 S. Diehl , S. Floerchinger , H. Gies , J. M. Pawlowski , C. Wetterich

The exact renormalization group equation for pure quantum gravity is used to derive the non-perturbative $\Fbeta$-functions for the dimensionless Newton constant and cosmological constant on the theory space spanned by the Einstein-Hilbert…

High Energy Physics - Theory · Physics 2010-04-06 M. Reuter , F. Saueressig

We show that a wide class of unconventional quantum criticality emerges when orbital currents cause quantum phase transitions from zero-gap semiconductors such as Dirac fermions to topological insulator (TI) or Chern insulator (CI). Changes…

Strongly Correlated Electrons · Physics 2015-03-19 Moyuru Kurita , Youhei Yamaji , Masatoshi Imada

Critical transition points between symmetry-broken phases are characterized as fixed points in the renormalization group (RG) theory. We show that, following the standard Wilsonian procedure that traces out the large momentum modes, this…

Strongly Correlated Electrons · Physics 2020-11-18 Boran Zhou , Rui Wang , Baigeng Wang

In this paper we discuss and revisit the finite temperature extension of the renormalization group (RG) treatment of $T=0$ field theories, focusing as a case study on the $\phi^4$ model. We first discuss the extension of RG equations of the…

High Energy Physics - Theory · Physics 2025-10-17 István Gábor Márián , Andrea Trombettoni , István Nándori

Concerning renormalisation group theory applied to phase transitions, we examine the value of positive numerical and analytical evidence, the divergent short-wavelength behaviour of classical free fields and the absence of UV-divergences in…

Statistical Mechanics · Physics 2007-05-23 Reinhold Brueckner