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We study non-linear sigma models on target manifolds with constant (positive or negative) curvature using the functional renormalization group and the background field method. We pay particular attention to the splitting Ward identities…

高能物理 - 理论 · 物理学 2021-11-10 Alexander N. Efremov , Adam Rançon

A major challenge in the field of correlated electrons is the computation of dynamical correlation functions. For comparisons with experiment, one is interested in their real-frequency dependence. This is difficult to compute, as…

强关联电子 · 物理学 2024-04-09 Anxiang Ge , Nepomuk Ritz , Elias Walter , Santiago Aguirre , Jan von Delft , Fabian B. Kugler

We consider the Renormalization-Group coupled equations for the effective potential V(\phi) and the field strength Z(\phi) in the spontaneously broken phase as a function of the infrared cutoff momentum k. In the k \to 0 limit, the…

高能物理 - 理论 · 物理学 2008-11-26 M. Consoli , D. Zappalá

We employ the functional renormalization group approach formulated on the Schwinger-Keldysh contour to calculate real-time correlation functions in scalar field theories. We provide a detailed description of the formalism, discuss suitable…

高能物理 - 唯象学 · 物理学 2020-11-18 Sven Huelsmann , Soeren Schlichting , Philipp Scior

We study in this paper the sine-Gordon model using functional Renormalization Group (fRG) at Local Potential Approximation (LPA) using different RG schemes. In $d=2$, using Wegner-Houghton RG we demonstrate that the location of the phase…

高能物理 - 理论 · 物理学 2012-02-09 V. Pangon

In view of the obstacles encountered in any attempts to solve the Minkowski-space Bethe-Salpeter equation for bound states of two fermions, we study the possibility to model the bound-state features, at least at a qualitative level, by a…

数学物理 · 物理学 2014-09-17 Richard L. Hall , Wolfgang Lucha

We investigate the RG-time integration of the effective potential in the functional renormalization group in the presence of spontaneous symmetry breaking and its subsequent convexity restoration on the example of a scalar theory in $d=3$.…

高能物理 - 理论 · 物理学 2023-06-21 Friederike Ihssen , Franz R. Sattler , Nicolas Wink

We develop a renormalization group (RG) description of the localization properties of onedimensional (1D) quasiperiodic lattice models. The RG flow is induced by increasing the unit cell of subsequent commensurate approximants. Phases of…

无序系统与神经网络 · 物理学 2023-10-10 Miguel Gonçalves , Bruno Amorim , Eduardo V. Castro , Pedro Ribeiro

We derive a novel computational scheme for functional Renormalization Group (fRG) calculations for interacting fermions on 2D lattices. The scheme is based on the exchange parametrization fRG for the two-fermion interaction, with additional…

强关联电子 · 物理学 2017-03-08 J. Lichtenstein , D. Sánchez de la Peña , D. Rohe , E. Di Napoli , C. Honerkamp , S. A. Maier

Bound states of the generalized spiked harmonic oscillator potential are calculated accurately by using the generalized pseudospectral method. Energy eigenvalues, various expectation values, radial densities are obtained through a…

量子物理 · 物理学 2013-07-15 Amlan K. Roy

The field theoretic renormalization group (RG) is applied to the model of a near-equilibrium fluid coupled to a scalar field (like temperature or density of an impurity) which is active, that is, influencing the dynamics of the fluid…

统计力学 · 物理学 2021-09-15 N. V. Antonov , M. M. Kostenko

The renormalization group (RG) approach is largely responsible for the considerable success that has been achieved in developing a quantitative theory of phase transitions. Physical properties emerge from spectral properties of the…

数学物理 · 物理学 2015-05-14 Mei Yin

We develop a systematic multi-local expansion of the Polchinski-Wilson exact renormalization group (ERG) equation. Integrating out explicitly the non local interactions, we reduce the ERG equation obeyed by the full interaction functional…

凝聚态物理 · 物理学 2009-10-31 Pascal Chauve , Pierre Le Doussal

We apply a stochastic method of minimizing the ground state energy in variational calculations of light nuclei using the Refined Resonating Group Model (RRGM). The method utilizes a bit representation of the width parameters to be varied.…

核理论 · 物理学 2008-11-26 Christian Winkler , Hartmut M. Hofmann

Similarity renormalization group procedure identifies the role of bound states in the low-energy rate of change of effective coupling constant in a model Hamiltonian with asymptotic freedom.

高能物理 - 理论 · 物理学 2010-02-05 Stanislaw D. Glazek

We use the Bethe Ansatz solution for the one dimensional Hubbard model with open boundary conditions and applied boundary fields to study the spectrum of bound states at the boundary. Depending on the strength of the boundary potentials one…

凝聚态物理 · 物理学 2009-10-30 Gerald Bedürftig , Holger Frahm

We propose a general formalism to compute exact correlation functions for Cardy's boundary states. Using the free-field construction of boundary states and applying the Coulomb-gas technique, it is shown that charge-neutrality conditions…

高能物理 - 理论 · 物理学 2010-12-01 Shinsuke Kawai

In this paper we develop and compare different real-time methods to calculate spectral functions. These are classical-statistical simulations, the Gaussian state approximation (GSA), and the functional renormalization group (FRG) formulated…

高能物理 - 唯象学 · 物理学 2022-06-23 Johannes V. Roth , Dominik Schweitzer , Leon J. Sieke , Lorenz von Smekal

The eigenvalue problem for the dressed bound-state of unstable multilevel systems is examined both outside and inside the continuum, based on the N-level Friedrichs model which describes the couplings between the discrete levels and the…

量子物理 · 物理学 2009-11-11 Manabu Miyamoto

We compute numerically the sequence of successive pinned configurations of an elastic line pulled quasi-statically by a spring in a random bond (RB) and random field (RF) potential. Measuring the fluctuations of the center of mass of the…

无序系统与神经网络 · 物理学 2009-11-11 Alberto Rosso , Pierre Le Doussal , Kay Joerg Wiese