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We study the effective theory of the conformal factor near its infrared stable fixed point.The renormalization group equations for the effective coupling constants are found and their solutions near the critical point are obtained,…

High Energy Physics - Theory · Physics 2009-09-17 I. Antoniadis , S. D. Odintsov

We explore the implications of recent work by Br\'ezin and Zinn-Justin, applying the renormalization group techniques from critical phenomena to the scaling limit of matrix models in two-dimensional quantum gravity. They endeavor to get the…

High Energy Physics - Theory · Physics 2009-10-22 Carles Ayala

We consider a symmetric scalar theory with quartic coupling in 4-dimensions and compare the standard 2PI calculation with a modified version which uses a functional renormalization group method. The set of integral differential equations…

High Energy Physics - Phenomenology · Physics 2015-01-14 M. E. Carrington , Wei-Jie Fu , D. Pickering , J. W. Pulver

The importance and usefulness of renormalization are emphasized in nonrelativistic quantum mechanics. The momentum space treatment of both two-body bound state and scattering problems involving some potentials singular at the origin…

High Energy Physics - Theory · Physics 2008-11-26 Sadhan K. Adhikari , Angsula Ghosh

We introduce a more general set of kinematic renormalization schemes than the original momentum (MOM) subtraction schemes of Celmaster and Gonsalves. These new schemes will depend on a parameter $\omega$ which tags the external momentum of…

High Energy Physics - Theory · Physics 2018-04-25 J. A. Gracey , R. M. Simms

The order parameters of dynamical chiral symmetry breaking in QCD, the dynamical mass of quarks and the chiral condensates, are evaluated by numerically solving the Non-Perturbative Renormalization Group (NPRG) equations. We employ an…

High Energy Physics - Theory · Physics 2009-10-31 Ken-Ichi Aoki , Kaoru Takagi , Haruhiko Terao , Masashi Tomoyose

The renormalization group method is employed to study the effective potential in curved spacetime with torsion. The renormalization-group improved effective potential corresponding to a massless gauge theory in such a spacetime is found and…

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

Exact renormalization group techniques are applied to mass deformed N=4 supersymmetric Yang-Mills theory, viewed as a regularised N=2 model. The solution of the flow equation, in the local potential approximation, reproduces the one-loop…

High Energy Physics - Theory · Physics 2008-11-26 S. Arnone , D. Francia , K. Yoshida

A renormalization group study of a scalar theory coupled to gravity through a general functional dependence on the Ricci scalar in the action is discussed. A set of non-perturbative flow equations governing the evolution of the new…

High Energy Physics - Phenomenology · Physics 2009-10-30 Alfio Bonanno , Dario Zappalá

We continue the study of the renormalization group and decoupling of massive fields in curved space, started in the previous article and analyse the higher derivative sector of the vacuum metric-dependent action of the Standard Model. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 Eduard V. Gorbar , Ilya L. Shapiro

We extend the Wilson renormalization group (RG) to supersymmetric theories. As this regularization scheme preserves supersymmetry, we exploit the superspace technique. To set up the formalism we first derive the RG flow for the massless…

High Energy Physics - Theory · Physics 2009-10-31 M. Bonini , F. Vian

In this paper we evaluate the renormalization constants and anomalous dimensions for the squark wave function and mass within supersymmetric QCD. These results complement the ones obtained in Ref. \cite{Harlander:2009mn} and thus provide…

High Energy Physics - Phenomenology · Physics 2015-05-28 Thomas Hermann , Luminita Mihaila , Matthias Steinhauser

The gradient-flow formalism is applied to a non-Abelian gauge theory with scalar and fermionic particles, dubbed "scalar QCD". It is shown that the flowed scalar quark requires a field renormalization, albeit only beyond the one-loop level.…

High Energy Physics - Phenomenology · Physics 2025-03-26 J. Borgulat , N. Felten , R. V. Harlander , J. T. Kohnen

The Wilsonian exact renormalization group gives a natural framework in which ultraviolet and infrared divergences can be treated separately. In massless QED we introduce, as the only mass parameter, a renormalization scale $\L_R > 0$. We…

High Energy Physics - Theory · Physics 2009-10-30 M. Pernici , M. Raciti , F. Riva

We non-perturbatively calculate the scale dependence of the static axial current in the Schroedinger functional scheme by means of a recursive finite-size scaling technique, taking the continuum limit in each step. The bare current in the…

High Energy Physics - Lattice · Physics 2008-11-26 Jochen Heitger , Martin Kurth , Rainer Sommer

We study renormalization group flow in a non-local version of quantum electrodynamics (QED). We determine the regime in which the theory flows to a local theory in the infrared and study a possible UV completion of four-dimensional QED. In…

High Energy Physics - Theory · Physics 2020-08-26 Matthew Heydeman , Christian B. Jepsen , Ziming Ji , Amos Yarom

We study the renormalization group flow of $\mathbb{Z}_2$-invariant supersymmetric and non-supersymmetric scalar models in the local potential approximation using functional renormalization group methods. We focus our attention to the fixed…

High Energy Physics - Theory · Physics 2015-10-28 Tobias Hellwig , Andreas Wipf , Omar Zanusso

We studied the correlated quasi-one-dimensional systems by one-loop renormalization group techniques in weak coupling. In contrast to conventional g-ology approach, we formulate the theory in terms of bilinear currents and obtain all…

Strongly Correlated Electrons · Physics 2009-11-11 Ming-Shyang Chang , Wei Chen , Hsiu-Hau Lin

The nonperturbative renormalization group has been considered as a solid framework to investigate fixed point and critical exponents for matrix and tensor models, expected to correspond with the so-called double scaling limit. In this…

High Energy Physics - Theory · Physics 2023-04-18 Vincent Lahoche , Dine Ousmane Samary

We consider the renormalization of the three-quark operators without derivatives at next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point. This allows us to obtain conversion factors between the…

High Energy Physics - Phenomenology · Physics 2023-06-14 Bernd A. Kniehl , Oleg L. Veretin
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