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The Schrodinger equation with a two-dimensional delta-function potential is a simple example of an asymptotically free theory that undergoes dimensional transmutation. Renormalization requires the introduction of a mass scale, which can be…

Nuclear Theory · Physics 2007-05-23 Robert J. Perry , Sergio Szpigel

The process of deriving an interatomic potentials represents an attempt to integrate out the electronic degrees of freedom from the full quantum description of a condensed matter system. In practice it is the derivatives of the interatomic…

Materials Science · Physics 2016-06-23 G. J. Ackland

The $\beta$-functions describe how couplings run under the renormalization group flow in field theories. In general, all couplings that respect the symmetry and locality are generated under the renormalization group flow, and the exact…

High Energy Physics - Theory · Physics 2022-02-02 Han Ma , Sung-Sik Lee

The perturbative $\beta$-function is known exactly in a number of supersymmetric theories and in the 't Hooft renormalization scheme in the $\phi_4^4$ model. It is shown how this allows one to compute the effective action exactly for…

High Energy Physics - Theory · Physics 2009-11-11 V. Elias , D. G. C. McKeon

Improving perturbation theory via a variational optimization has generally produced in higher orders an embarrassingly large set of solutions, most of them unphysical (complex). We introduce an extension of the optimized perturbation method…

Soft Condensed Matter · Physics 2009-11-10 J. -L. Kneur , A. Neveu , M. B. Pinto

The second alternative conformal limit of the recently proposed general higher derivative dilaton quantum theory in curved spacetime is explored. In this version of the theory the dilaton is transformed, along with the metric, to provide…

High Energy Physics - Theory · Physics 2009-02-25 J. Acacio de Barros , Ilya L. Shapiro

The inverse renormalization group is studied based on the image super-resolution using the deep convolutional neural networks. We consider the improved correlation configuration instead of spin configuration for the spin models, such as the…

Statistical Mechanics · Physics 2021-12-30 Kenta Shiina , Hiroyuki Mori , Yusuke Tomita , Hwee Kuan Lee , Yutaka Okabe

We propose a nonperturbative scheme for the calculation of thermal damping-rates using exact renormalization group (RG)-equations. Special emphasis is put on the thermal RG where first results for the rate were given in M. Pietroni, Phys.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bastian Bergerhoff , Juergen Reingruber

Using the method of renormalization group, we improve the two-loop effective potential of the massive $\phi^4$ theory to obtain the next-next-to-leading logarithm correction in the $\bar{MS}$ scheme. Our result well reproduces the…

High Energy Physics - Theory · Physics 2009-10-31 J. -M. Chung , B. K. Chung

Using the renormalization approach proposed by Millis for the itinerant electron systems we calculated the specific heat coefficient $\gamma(T)$ for the magnetic fluctuations with susceptibility $\chi^{-1}\sim |\delta+\omega|^\alpha+f(q)$…

Strongly Correlated Electrons · Physics 2009-10-31 C. P. Moca , I. Tifrea , M. Crisan

We implement the temperature flow scheme first proposed by Honerkamp and Salmhofer in Phys.~Rev.~B 64, 184516 (2001) into the pseudo-Majorana functional renormalization group method for quantum spin systems. Since the renormalization group…

Strongly Correlated Electrons · Physics 2025-01-28 Benedikt Schneider , Johannes Reuther , Matías G. Gonzalez , Björn Sbierski , Nils Niggemann

We study regulator and cutoff artifacts in the quark-meson model at finite temperature and quark chemical potential within the functional renormalization-group approach using the local potential approximation. To this end, we discuss the…

High Energy Physics - Phenomenology · Physics 2026-02-02 Jonas Stoll , Niklas Zorbach , Lutz Kiefer , Fabrizio Murgana , Jens Braun , Dirk H. Rischke

We introduce a way of implementing Wilson renormalization within the context of the theory of effective Hamiltonians. Our renormalization scheme involves manipulations at the level of the generalized $G$--matrix and is independent of any…

High Energy Physics - Phenomenology · Physics 2015-06-25 T. J. Fields , K. S. Gupta , J. P. Vary

The inhomogeneous renormalization group equation for the effective potential is rederived. It is shown that when the effective potential is normalized by the normalization condition on the generating functional, its renormalization group…

High Energy Physics - Phenomenology · Physics 2015-09-15 H. I. Alrebdi , H. A. Alhendi , T. Barakat

In this Letter, we show thermoelectric conversion efficiency is \emph{exactly} determined by \emph{three} independent material parameters $Z_{\rm gen}$, $\tau$, and $\beta$. Each parameter is a figure of merit hence improving $\tau$ or…

Materials Science · Physics 2019-10-25 Byungki Ryu , Jaywan Chung , SuDong Park

We present a novel numerical method for the evaluation of dynamical response functions at finite temperatures in one-dimensional strongly correlated systems. The approach is based on the density-matrix renormalization group method, combined…

Strongly Correlated Electrons · Physics 2009-11-23 J. Kokalj , P. Prelovsek

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

We employ a recently developed variant of the functional renormalization group method for spin systems, the so-called pseudo Majorana functional renormalization group, to investigate three-dimensional spin-1/2 Heisenberg models at finite…

Strongly Correlated Electrons · Physics 2022-05-11 Nils Niggemann , Johannes Reuther , Björn Sbierski

It is proposed to use the pinch technique (PT) to obtain the gauge-independent thermal $\beta$ function $\beta_T$ in a hot Yang-Mills gas. Calculations of the thermal $\beta$ function are performed at one-loop level in four different…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ken Sasaki

The control of out-of-equilibrium electron dynamics in topological insulators is essential to unlock their potential in next-generation quantum technologies. However, the role of temperature on the renormalization of the electronic band…

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