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We show that the renormalization group decimation of modern nucleon potential models to low momenta results in a unique nucleon interaction V_{low k}. This interaction is free of short-ranged singularities and can be used directly in…

Nuclear Theory · Physics 2007-05-23 A. Schwenk , B. Friman , S. K. Bogner , G. E. Brown , T. T. S. Kuo

Low momentum two-nucleon interactions obtained with the renormalization group method and the similarity renormalization group method are used to study the cutoff dependence of low energy 3N and 4N scattering observables. The residual cutoff…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. C. Fonseca , S. K. Bogner

We consider two nonperturbative methods originally used to derive shell model effective interactions in nuclei. These methods have been applied to the two nucleon sector to obtain an energy independent effective interaction V_{low k}, which…

Nuclear Theory · Physics 2007-05-23 S. K. Bogner , A. Schwenk , T. T. S. Kuo , G. E. Brown

We use the newly developed Multi-Reference In-Medium Similarity Renormalization Group to study all even isotopes of the calcium and nickel isotopic chains, based on two- plus three-nucleon interactions derived from chiral effective field…

Nuclear Theory · Physics 2014-10-29 H. Hergert , S. K. Bogner , T. D. Morris , S. Binder , A. Calci , J. Langhammer , R. Roth

The renormalization procedure is proved to be a rigorous way to get finite answers in a renormalizable class of field theories. We claim, however, that it is redundant if one reduces the requirement of finiteness to S-matrix elements only…

High Energy Physics - Theory · Physics 2020-07-03 D. I. Kazakov

The Chiral Quark-Soliton model of the nucleon contains a mechanism for an attractive interaction between nucleons. This, along with the exchange of vector mesons between nucleons, is used to compute the saturation properties of infinite…

Nuclear Theory · Physics 2008-11-26 J. R. Smith , G. A. Miller

We show that the form of the renormalization group invariant quark-gluon interaction predicted by a refined nonperturbative analysis of the QCD gauge sector is in quantitative agreement with the one required for describing a wide range of…

High Energy Physics - Phenomenology · Physics 2016-04-20 D. Binosi

A chiral quark model is described which is regularized in terms of Lorentz invariant non-local interactions. The model is regularized to all loop orders and it ensures the proper quantization of the baryon number. It sustains bound hedgehog…

High Energy Physics - Phenomenology · Physics 2009-10-31 Georges Ripka , Bojan Golli

We review some aspects of the renormalization group method for interacting fermions. Special emphasis is placed on the application of scaling theory to quasi-one-dimensional systems at non zero temperature. We begin by introducing the…

Strongly Correlated Electrons · Physics 2007-05-23 C. Bourbonnais , B. Guay , R. Wortis

We use renormalization group to calculate the reunion and survival exponents of a set of random walkers interacting with a long range $1/r^2$ and a short range interaction. These exponents are used to study the binding-unbinding transition…

Statistical Mechanics · Physics 2009-11-07 Sutapa Mukherji , Somendra M. Bhattacharjee

This is a lecture note on the renormalization group theory for field theory models based on the dimensional regularization method. We discuss the renormalization group approach to fundamental field theoretic models in low dimensions. We…

Statistical Mechanics · Physics 2018-04-10 Takashi Yanagisawa

A particular choice of renormalization, within the simplifications provided by the non-perturbative property of Effective Locality, leads to a completely finite, renormalized theory of QCD, in which all correlation functions can, in…

High Energy Physics - Theory · Physics 2015-05-20 H. M. Fried , P. H. Tsang , Y. Gabellini , T. Grandou , Y. -M. Sheu

Rapid rotation may exist in physical systems such as non-central heavy ion collisions and neutron stars. Using functional renormalization group analysis of the quark-meson model, we investigate the effects of real and imaginary rotation on…

High Energy Physics - Phenomenology · Physics 2024-03-01 Hao-Lei Chen , Zhi-Bin Zhu , Xu-Guang Huang

We describe an extension of the hadronic SU(3) non-linear sigma model to include quarks. As a result, we obtain an effective model which interpolates between hadronic and quark degrees of freedom. The new parameters and the potential for…

Solar and Stellar Astrophysics · Physics 2010-04-20 V. A. Dexheimer , S. Schramm

We discuss the dynamical situation which arises in a local quantum field theory after renormalization. By using the example of the three-dimensional theory of a neutral scalar field interacting through the quartic coupling, we show that…

High Energy Physics - Theory · Physics 2007-05-23 Renat Kh. Gainutdinov

I give an outline of recent applications of the renormalisation group to effective theories of nuclear forces, focussing on the use of a Wilsonian approach to analyse systems of two or three nonrelativistic particles.

Nuclear Theory · Physics 2015-05-20 Michael C. Birse

The non-renormalization theorems of chiral vertex functions are derived on the basis of an algebraic analysis. The property, that the interaction vertex is a second supersymmetry variation of a lower dimensional field monomial, is used to…

High Energy Physics - Theory · Physics 2009-10-31 R. Flume , E. Kraus

Low energy nucleon dynamics is investigated by using the generalized dynamical equation derived in [J. Phys. A v.32, 5657 (1999)]. This equation extends quantum dynamics to describe the time evolution in the case of nonlocal-in-time…

Nuclear Theory · Physics 2007-05-23 Renat Kh. Gainutdinov , Aigul A. Mutygullina

Renormalization procedure is generalized to be applicable for non renormalizable theories. It is shown that introduction of an extra expansion parameter allows to get rid of divergences and express physical quantities as series of finite…

High Energy Physics - Theory · Physics 2008-02-03 J. Gegelia , G. Japaridze , N. Kiknadze , K. Turashvili

For precise QCD prediction of observables, the ambiguity due to renormalons in perturbative calculations should be appropriately separated from Wilson coefficients in the framework of the operator-product-expansion. Recently, a new method…

High Energy Physics - Phenomenology · Physics 2022-07-13 Yuuki Hayashi
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