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We present first calculations of critical spectral functions of the relaxational Models A, B, and C in the Halperin-Hohenberg classification using a real-time formulation of the functional renormalization group (FRG). We revisit the…

High Energy Physics - Phenomenology · Physics 2023-03-22 Johannes V. Roth , Lorenz von Smekal

We present two methods for computing two-time correlation functions or Green's functions from real time bold-line continuous time quantum Monte Carlo. One method is a formally exact generalized auxiliary lead formalism by which spectral…

Strongly Correlated Electrons · Physics 2014-04-01 Guy Cohen , David R. Reichman , Andrew J. Millis , Emanuel Gull

We present a nonperturbative renormalization group solution of the Gell-Mann--Levy $\sigma$-model which was originally proposed as a phenomenological description of the dynamics of nucleons and mesons. In our version of the model the…

High Energy Physics - Phenomenology · Physics 2011-07-19 A. S. Johnson , J. A. McNeil , J. R. Shepard

We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic quantum dual theories (with oscillator and Coulomb-like potentials) and compare their spectra and the sets of eigenfunctions. We…

Quantum Physics · Physics 2010-11-25 I. V. Tyutin , G. V. Grigoryan , R. P. Grigoryan

Using a recently developed perturbative renormalization group (RG) scheme, we calculate analytically the spectral function of a Kondo impurity for either large frequencies w or large magnetic field B and arbitrary frequencies. For large w…

Strongly Correlated Electrons · Physics 2009-11-10 A. Rosch , T. A. Costi , J. Paaske , P. Wölfle

The meromorphic functional calculus developed in Part I overcomes the nondiagonalizability of linear operators that arises often in the temporal evolution of complex systems and is generic to the metadynamics of predicting their behavior.…

Chaotic Dynamics · Physics 2018-04-18 Paul M. Riechers , James P. Crutchfield

We apply Renormalization Group techniques to the Real Time formulation of thermal field theory. Due to the separation between the $T=0$ and the $T\neq 0$ parts of the propagator in this formalism, one can derive exact evolution equations…

High Energy Physics - Phenomenology · Physics 2009-10-28 Marco D'Attanasio , Massimo Pietroni

We obtain the renormalization group(RG) functions for the massless scalar field theory where symmetry breaking occurs radiatively. After obtaining the effective potential for the radiative symmetry breaking scheme from that of the minimal…

High Energy Physics - Theory · Physics 2009-09-28 Chungku Kim

Spectral functions play a central role in the characterization of a wide range of physical systems, including strongly interacting quantum field theories and many-body systems. Their non-perturbative determination from Euclidean correlation…

High Energy Physics - Lattice · Physics 2026-04-16 Norikazu Yamada

We present a renormalization group (RG) procedure which works naturally on a wide class of interacting one-dimension models based on perturbed (possibly strongly) continuum conformal and integrable models. This procedure integrates Kenneth…

Strongly Correlated Electrons · Physics 2016-07-05 Robert M. Konik , Yury Adamov

We show how spectral functions for quantum impurity models can be calculated very accurately using a complete set of ``discarded'' numerical renormalization group eigenstates, recently introduced by Anders and Schiller. The only…

Strongly Correlated Electrons · Physics 2009-11-11 Andreas Weichselbaum , Jan von Delft

We study the spectral representation of finite temperature, out of time ordered (OTO) correlators on the multi-time-fold generalised Schwinger-Keldysh contour. We write the contour-ordered correlators as a sum over time-order permutations…

High Energy Physics - Theory · Physics 2019-02-20 Soumyadeep Chaudhuri , Chandramouli Chowdhury , R. Loganayagam

We propose a renormalization group flow equation for a functional that generates $S$-matrix elements and which captures similarities to the well-known Wetterich and Polchinski equations. While the latter ones respectively involve the…

High Energy Physics - Theory · Physics 2025-09-09 Laurent Freidel , José Padua-Argüelles , Susanne Schander , Marc Schiffer

The recursion relations of hierarchical models are studied and contrasted with functional renormalisation group equations in corresponding approximations. The formalisms are compared quantitatively for the Ising universality class, where…

High Energy Physics - Theory · Physics 2008-11-26 Daniel F. Litim

We investigate the employment of a non-perturbative regularization scheme -- the spectral regularization, which is based on the gauge technique, previously implemented in the context of chiral quark models -- in the study of the gauge…

High Energy Physics - Theory · Physics 2024-02-20 L. F. Eleotério , G. A. Oliveira , E. W. Dias , H. Caldas , A. L. Mota

It is shown in the framework of the N-component scalar model that the saddle point structure may generate non-trivial renormalization group flow. The spinodal phase separation can be described in this manner and a flat action is found as an…

High Energy Physics - Theory · Physics 2007-05-23 Jean Alexandre , Janos Polonyi

Scalar field theories with $\mathbb{Z}_{2}$-symmetry are the traditional playground of critical phenomena. In this work these models are studied using functional renormalization group (FRG) equations at order $\partial^2$ of the derivative…

High Energy Physics - Theory · Physics 2018-08-01 N. Defenu , A. Codello

It is well known that perturbative solutions of the Langevin equation can be used to calculate correlation functions in stochastic quantization. However, this work is challenging due to the absence of generalized rules. In this paper, we…

High Energy Physics - Theory · Physics 2024-04-03 Moongul Byun

We compute three-point functions for the $SL(2,\mathbb R)$-WZNW model. After reviewing the case of the two-point correlator, we compute spectral flow preserving and nonpreserving correlation functions in the space-time picture involving…

High Energy Physics - Theory · Physics 2014-03-20 Yago Cagnacci , Sergio M. Iguri

Functional renormalization group methods formulated in the real-time formalism are applied to the $O(N)$ symmetric quantum anharmonic oscillator, considered as a $0+1$ dimensional quantum field-theoric model, in the next-to-leading order of…

High Energy Physics - Theory · Physics 2011-06-16 S. Nagy , K. Sailer
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