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Starting from a formal Hamiltonian as found in the physics literature -- omitting photons -- we define a renormalized Hamiltonian through charge and mass renormalization. We show that the restriction to the one-electron subspace is…

Mathematical Physics · Physics 2008-11-26 Christian Hainzl , Heinz Siedentop

We present a setup that enables to define in a concrete way a renormalization flow for the FK-percolation models from statistical physics (that are closely related to Ising and Potts models). In this setting that is applicable in any…

Probability · Mathematics 2017-07-31 Wendelin Werner

In a nuclear medium, spin-dependent forces cause the nucleon spins to fluctuate with a rate $\Gamma_\sigma$. We have previously shown that as a consequence the effective axial-current neutrino-nucleon scattering cross section is reduced.…

Astrophysics · Physics 2011-05-12 G. Raffelt , D. Seckel , G. Sigl

We discuss the radiative corrections to charged and neutral current deep-inelastic neutrino--nucleon scattering in the minimal supersymmetric standard model (MSSM). In particular, deviations from the Standard Model prediction for the ratios…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Brein , B. Koch , W. Hollik

The possible usefulness of the renormalization group method in Nuclear Physics is pointed out in this talk in the context of the nuclear multifragmentation. The presentation is rather superficial and sketchy, to indicate the main lines…

Nuclear Theory · Physics 2007-05-23 J. Polonyi

We consider a new approach to the nucleon-nucleon scattering problem in the framework of the higher-derivative formulation of baryon chiral perturbation theory. Starting with a Lorentz-invariant form of the effective Lagrangian we work out…

Nuclear Theory · Physics 2008-11-26 D. Djukanovic , J. Gegelia , S. Scherer , M. R. Schindler

We consider several subtle aspects of the theory of neutrino oscillations which have been under discussion recently. We show that the $S$-matrix formalism of quantum field theory can adequately describe neutrino oscillations if correct…

High Energy Physics - Phenomenology · Physics 2011-06-30 E. Kh. Akhmedov , A. Yu. Smirnov

Renormalization plays an important role in the theoretically and mathematically careful analysis of models in condensed-matter physics. I review selected results about correlated-fermion systems, ranging from mathematical theorems to…

Strongly Correlated Electrons · Physics 2019-05-01 Manfred Salmhofer

We study a model of Tensorial Group Field Theory (TGFT) on $\mathbb{R}^3$ from the point of view of the Functional Renormalisation Group. This is the first attempt to apply a renormalisation procedure to a TGFT model defined over a…

High Energy Physics - Theory · Physics 2015-12-09 Joseph Ben Geloun , Riccardo Martini , Daniele Oriti

We show how the Implicit Regularization Technique (IRT) can be used for the perturbative renormalization of a simple field theoretical model, generally used as a test theory for new techniques. While IRT has been applied successfully in…

High Energy Physics - Theory · Physics 2007-05-23 S. R. Gobira , M. C. Nemes

Important contributions to meson-nucleus scattering are produced by terms in the multiple-scattering series, which is defined as the sum of all diagrams where the meson scatters back and forth between a pair of static nucleons before…

Nuclear Theory · Physics 2015-06-04 V. Baru , E. Epelbaum , C. Hanhart , M. Hoferichter , A. E. Kudryavtsev , D. R. Phillips

We present a nonrelativistic one-particle quantum mechanics whose perturbative S-matrix exhibits a renormalon divergence that we explicitely compute. The potential of our model is the sum of the 2d Dirac $\delta$-potential -- known to…

High Energy Physics - Theory · Physics 2019-09-04 Cihan Pazarbasi , Dieter Van den Bleeken

A relation between nuclear forces derived using a phenomenological approach and nuclear effective field theory (NEFT) is proposed from a renormalization group point of view. A phenomenological nuclear force (V_ph) and an NEFT-based…

Nuclear Theory · Physics 2009-11-10 Satoshi X. Nakamura

The standard model of non-relativistic quantum electrodynamics describes non-relativistic quantum matter, such as atoms and molecules, coupled to the quantized electromagnetic field. Within this model, we review basic notions, results and…

Mathematical Physics · Physics 2013-08-01 I. M. Sigal

I outline the effective field theory (EFT) calculation of nucleon-nucleon scattering which was recently carried out to next-to-next-to-leading order (NNLO) by Noam Shoresh and myself. In this calculation only potential pion contributions…

Nuclear Theory · Physics 2007-05-23 G. Rupak , N. Shoresh

Neutrino-electron scatterings ($\nu - e$) are purely leptonic processes with robust Standard Model (SM) predictions. Their measurements can therefore provide constraints to physics beyond SM. Non-commutative (NC) field theories modify…

High Energy Physics - Phenomenology · Physics 2012-04-24 S. Bilmis , M. Deniz , H. B. Li , J. Li , H. Y. Liao , S. T. Lin , V. Singh , H. T. Wong , I. O. Yildirim , Q. Yue , M. Zeyrek

We examine several zero-range potentials in non-relativistic quantum mechanics. The study of such potentials requires regularization and renormalization. We contrast physical results obtained using dimensional regularization and cutoff…

High Energy Physics - Theory · Physics 2009-10-30 Daniel R. Phillips , Silas R. Beane , Thomas D. Cohen

An elementary introduction to the non-perturbative renormalization group is presented mainly in the context of statistical mechanics. No prior knowledge of field theory is necessary. The aim is this article is not to give an extensive…

Statistical Mechanics · Physics 2015-06-25 Bertrand Delamotte

The problem of renormalization procedure is re-examined from the viewpoint of Micro-Macro duality.

General Physics · Physics 2011-12-24 Izumi Ojima

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
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