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We analyze the dynamical chiral symmetry breaking in gauge theories solely by the non-perturbative renormalization group, without recourse to the Schwinger-Dyson method. First, we briefly review the basic notions and formulation, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ken-Ichi Aoki

New solutions to the non perturbative renormalization group equation for the effective action of a scalar field theory in the Local Potential Approximation having the exponential form $e^{\pm\phi}$ are found. This result could be relevant…

High Energy Physics - Phenomenology · Physics 2009-10-31 Vincenzo Branchina

The application of renormalization group techniques to bound states in non-relativistic QED and QCD is discussed. For QED bound states like Hydrogen and positronium, the renormalization group allows large logarithms of the velocity, ln v…

High Energy Physics - Phenomenology · Physics 2011-01-13 Iain W. Stewart

The QED renormalization is restudied by using a mass-dependent subtraction which is performed at a time-like renormalization point. The subtraction exactly respects necessary physical and mathematical requirements such as the gauge…

High Energy Physics - Theory · Physics 2008-11-26 Jun-Chen Su , Xue-Xi Yi , Ying-Hui Cao

The possibility that non-supersymmetric quiver theories may have a renormalization-group fixed point at which there is conformal invariance requires non-perturbative information.

High Energy Physics - Theory · Physics 2007-05-23 Paul H. Frampton , Peter Minkowski

We present a new estimate of the fine structure constant and the $\beta$-function of QED at an arbitrary scale. Using the non-perturbative but convergent series expression of the one loop effective action of QED that has been available…

High Energy Physics - Theory · Physics 2007-05-23 Y. M. Cho , D. G. Pak

We study quantum corrections to Friedmann-Robertson-Walker cosmology with a scalar field under the assumption that the dynamics are subject to renormalisation group improvement. We use the Bianchi identity to relate the renormalisation…

General Relativity and Quantum Cosmology · Physics 2012-02-21 Adriano Contillo , Mark Hindmarsh , Christoph Rahmede

Nonrelativistic bound states are studied using an effective field theory. Large logarithms in the effective theory can be summed using the velocity renormalization group. For QED, one can determine the structure of the leading and…

High Energy Physics - Lattice · Physics 2009-10-31 Aneesh V. Manohar , Iain W. Stewart

We study the chiral critical behaviors of QED by using Non-Perturbative Renormalization Group (NPRG). Taking account of the non-ladder contributions, our flow equations are free from the gauge parameter ($\alpha$) dependence. We clarify the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ken-Ichi Aoki , Keiichi Morikawa , Jun-Ichi Sumi , Haruhiko Terao , Masashi Tomoyose

The renormalization-group improved effective potential ---to leading-log and in the linear curvature approximation--- is constructed for ``finite'' theories in curved spacetime. It is not trivial and displays a quite interesting,…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

We derive a general formula for the RG improved effective (Coleman-Weinberg) potential for classically conformal models, applying it to several examples of physical interest, and in particular a model of QCD coupled via quarks to a…

High Energy Physics - Theory · Physics 2010-01-15 Krzysztof A. Meissner , Hermann Nicolai

We analyze renormalizability properties of noncommutative (NC) theories with a bifermionic NC parameter. We introduce a new 4-dimensional scalar field model which is renormalizable at all orders of the loop expansion. We show that this…

High Energy Physics - Theory · Physics 2008-11-26 R. Fresneda , D. M. Gitman , D. V. Vassilevich

We compute renormalization group fixed points and their spectrum in an ultralocal approximation. We study a case of two competing non-trivial fixed points for a three-dimensional real $N$-component field: the O(N)-invariant fixed point…

Statistical Mechanics · Physics 2015-06-25 K. Pinn , M. Rehwald , C. Wieczerkowski

Renormalization constants of vector ($Z_V$) and axial-vector ($Z_A$) currents are determined non-perturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole improved clover quark action using the…

We perform a non-perturbative study of the Coleman-Weinberg phase transition in scalar QED. Our method permits a consistent treatment of the effective potential near the origin, a region not accessible to perturbation theory. As a result,…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Litim , C. Wetterich , N. Tetradis

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

The renormalization-group improved effective potential for an arbitrary renormalizable massless gauge theory in curved spacetime is found,thus generalizing Coleman-Weinberg's approach corresponding to flat space.Some explicit examples are…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

We test the physical viability of a recent proposal for an asymptotically safe modification of quantum electrodynamics (QED), whose ultraviolet physics is dominated by a non-perturbative Pauli spin-field coupling. We focus in particular on…

High Energy Physics - Theory · Physics 2024-03-06 Holger Gies , Kevin K. K. Tam

The renormalizable coloron model is built around a minimally extended color gauge group, which is spontaneously broken to QCD. The formalism introduces massive color-octet vector bosons (colorons), as well as several new scalars and…

High Energy Physics - Phenomenology · Physics 2015-09-09 R. Sekhar Chivukula , Arsham Farzinnia , Elizabeth H. Simmons

We discuss the properties of the two- and three-flavor quark-meson diquark (QMD) model as a renormalizable low-energy effective model for color superconductivity in dense QCD. The effective degrees of freedom are scalars, pseudo-scalars,…

High Energy Physics - Phenomenology · Physics 2025-06-24 Jens O. Andersen , Mathias P. Nødtvedt