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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

We study $n$-point functions at finite temperature in the closed time path formalism. With the help of two basic column vectors and their dual partners we derive a compact decomposition of the time-ordered $n$-point functions with $2^n$…

High Energy Physics - Theory · Physics 2008-11-26 Defu Hou , Enke Wang , Ulrich Heinz

We derive nonperturbative flow equations within an effective constituent quark model for two quark flavors. Heat-kernel methods are employed for a renormalization group improved effective potential. We study the evolution of the effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. -J. Schaefer , H. J. Pirner

Finite temperature correlation functions in integrable quantum field theories are formulated only in terms of the usual, temperature-independent form factors, and certain thermodynamic filling fractions which are determined from the…

High Energy Physics - Theory · Physics 2009-10-31 A. Leclair , G. Mussardo

We establish and elucidate the physical meaning of the appearance of an acausal mode in the sigma mesonic channel, found in the previous work by the present authors, when the system approaches the $\mathrm{Z}_{2}$ critical point. The…

High Energy Physics - Phenomenology · Physics 2017-11-01 Takeru Yokota , Teiji Kunihiro , Kenji Morita

Equivalence criteria are established for an effective Yukawa-type theory of composite fields representing two-particle fermion bound states with the original "microscopic" theory of interacting fermions based on the spectral decomposition…

High Energy Physics - Theory · Physics 2019-10-23 A. Jakovac , A. Patkos

Finite temperature Euclidean two-point functions in quantum mechanics or quantum field theory are characterized by a discrete set of Fourier coefficients $G_{k}$, $k\in\mathbb Z$, associated with the Matsubara frequencies $\nu_{k}=2\pi…

High Energy Physics - Lattice · Physics 2016-08-17 Frank Ferrari

We present a comprehensive study of the two-flavor Quark--Meson--Diquark (QMD) model by comparing a renormalization approach with a renormalization-group (RG) consistent mean-field formulation based on the functional renormalization group…

High Energy Physics - Phenomenology · Physics 2025-07-29 Hosein Gholami , Lennart Kurth , Ugo Mire , Michael Buballa , Bernd-Jochen Schaefer

In this paper we propose a method to study the Functional Renormalization Group at finite chemical potential. The method consists of mapping the FRG equations within the Fermi surface into a differential equation defined on a rectangle with…

High Energy Physics - Theory · Physics 2017-01-11 G. G. Barnafoldi , A. Jakovac , P. Posfay

We consider weakly-coupled QFT in AdS at finite temperature. We compute the holographic thermal two-point function of scalar operators in the boundary theory. We present analytic expressions for leading corrections due to local quartic…

High Energy Physics - Theory · Physics 2021-06-30 Luis F. Alday , Murat Kologlu , Alexander Zhiboedov

We apply the functional renormalization group method to the calculation of dynamical properties of zero-dimensional interacting quantum systems. As case studies we discuss the anharmonic oscillator and the single impurity Anderson model. We…

Strongly Correlated Electrons · Physics 2009-11-10 R. Hedden , V. Meden , Th. Pruschke , K. Schoenhammer

Within finite temperature field theory, we show that truncated non-perturbative self-consistent Dyson resummation schemes can be renormalized with local counter-terms defined at the vacuum level. The requirements are that the underlying…

High Energy Physics - Phenomenology · Physics 2009-11-07 H. Hees , J. Knoll

We consider quantum electrodynamics with chiral four-Fermi interactions in the functional renormalization group approach. In gauge theories, the functional flow equation for the effective action is accompanied by the quantum master equation…

High Energy Physics - Theory · Physics 2026-01-14 Yoshio Echigo , Yuji Igarashi , Katsumi Itoh , Jan M. Pawlowski , Yu Takahashi

The spectral function for finite nuclei is computed within the framework of the Local Density Approximation, starting from nuclear matter spectral functions obtained with a realistic nucleon-nucleon interaction. The spectral function is…

Nuclear Theory · Physics 2008-11-26 D. Van Neck , A. E. L. Dieperink , E. Moya de Guerra

At high temperature the infrared modes of a weakly coupled quantum field theory can be treated nonperturbatively in real time using the classical field approximation. We use this to introduce a nonperturbative approach to the calculation of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gert Aarts

We examine zero-temperature one-particle spectral functions for the one-dimensional two-band spinless fermions with different velocities and general forward-scattering interactions. By using the bosonization technique and diagonalizing the…

Strongly Correlated Electrons · Physics 2011-10-26 Edmond Orignac , Masahisa Tsuchiizu , Yoshikazu Suzumura

We use the functional renormalization group (FRG) to derive analytical expressions for thermodynamic observables (density, pressure, entropy, and compressibility) as well as for single-particle properties (wavefunction renormalization and…

Quantum Gases · Physics 2017-01-19 Jan Krieg , Dominik Strassel , Simon Streib , Sebastian Eggert , Peter Kopietz

After a short elementary introduction to the exact renormalization group for the effective action, I discuss a particular truncation of the hierarchy of flow equations that allows for the determination of the full momentum of the $n$-point…

Statistical Mechanics · Physics 2011-10-18 Jean-Paul Blaizot

We consider the single particle spectral function for a two-dimensional clean superconductor in a regime of strong critical thermal phase fluctuations. In the limit where the maximum of the superconducting gap is much smaller than the Fermi…

Superconductivity · Physics 2015-05-18 A. M. Tsvelik , F. H. L. Essler

We investigate the superfluid transition of the Unitary Fermi Gas by means of the Functional Renormalization Group, aiming at quantitative precision. We extract $T_{\rm c}/\mu=0.38(2)$ and $\Delta/\mu=1.04(15)$ for the critical temperature…

Quantum Gases · Physics 2014-06-09 Igor Boettcher , Jan M. Pawlowski , Christof Wetterich