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We review recent developments in the theory of renormalisation group flows in minimal models with boundaries. Among these, we discuss in particular the perturbative calculations of Recknagel et al, not only as a tool to predict the IR…

High Energy Physics - Theory · Physics 2007-05-23 K. Graham , I. Runkel , G. M. T. Watts

We analyze the renormalization group fixed point of the two-dimensional Ising model at criticality. In contrast with expectations from tensor network renormalization (TNR), we show that a simple, explicit analytic description of this fixed…

Mathematical Physics · Physics 2023-04-07 Tobias J. Osborne , Alexander Stottmeister

We present a calculation of the Vector Form Factor at the next-to-leading order in the 1/N_C expansion, within the framework of Resonance Chiral Theory. The calculation is performed in the chiral limit, and with two dynamical quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. Rosell , J. J. Sanz-Cillero , A. Pich

We will give a short introduction to the one-nucleon sector of chiral perturbation theory and will address the issue of a consistent power counting and renormalization. We will discuss the infrared regularization and the extended…

Nuclear Theory · Physics 2008-11-26 Stefan Scherer

The renormalized pion-nucleon Lagrangian is calculated to O(p^3) in heavy baryon chiral perturbation theory. By suitably chosen transformations of the nucleon field, the Lagrangian is brought to a standard form.

High Energy Physics - Phenomenology · Physics 2009-10-28 Gerhard Ecker , Martin Mojzis

Chiral perturbation theory is the effective field theory of the strong interactions at low energies. We will give a short introduction to chiral perturbation theory for mesons and will discuss, as an example, the electromagnetic…

High Energy Physics - Phenomenology · Physics 2015-06-25 Stefan Scherer

The Wilsonian renormalisation group is applied to a system of two nonrelativistic particles interacting via short-range forces and coupled to an external EM field. By demanding that a fully off-shell one-particle-irreducible 5-point…

Nuclear Theory · Physics 2019-01-30 A. N. Kvinikhidze , M. C. Birse

We study the problems related to the renormalization of propagators in Resonance Chiral Theory, concentrating on the case of vector $1^{--}$ resonances in the antisymmetric tensor formalism. We have found that renormalization of the…

High Energy Physics - Phenomenology · Physics 2009-02-20 Karol Kampf , Jiri Novotny , Jaroslav Trnka

We derive quantum kinetic equations from a quantum field theory implementing a diagrammatic perturbative expansion improved by a resummation via the dynamical renormalization group. The method begins by obtaining the equation of motion of…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , H. J. de Vega , S. -Y. Wang

Old folklore says that there is no non-trivial renormalization group fixed point with $U(1)$ gauge symmetry in four dimensions, but it can be circumvented by the existence of magnetic monopoles. We propose to construct (potentially…

High Energy Physics - Theory · Physics 2023-03-15 Yu Nakayama

Chiral perturbation theory is extended to nonrelativistic systems with spontaneously broken symmetry. In the effective Lagrangian, order parameters associated with the generators of the group manifest themselves as effective coupling…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Leutwyler

Within the framework of the recently proposed Taylor-Lagrange regularization procedure, we reanalyze the calculation of radiative corrections in $QED$ at next to leading order. Starting from a well defined local bare Lagrangian, the use of…

High Energy Physics - Theory · Physics 2023-01-26 Jean-François Mathiot

The construction of a resonance theory involving hadrons requires implementing the information from higher scales into the couplings of the effective Lagrangian. We consider the large-Nc chiral resonance theory incorporating scalars and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jorge Portoles , Ignasi Rosell , Pedro Ruiz-Femenia

We provide a short introduction to the one-nucleon sector of chiral perturbation theory and address the issue of power counting and renormalization. We discuss the infrared regularization and the extended on-mass-shell scheme. Both allow…

High Energy Physics - Phenomenology · Physics 2015-06-03 Stefan Scherer

Extending the results obtained in the case $N$ odd, the effect of slightly relevant perturbations of the second parafermionic field theory with the symmetry $\mathbb{Z}_{N}$, for $N$ even, are studied. The renormalization group equations,…

High Energy Physics - Theory · Physics 2008-12-17 Benoit Estienne

Within the superfield formalism, we study the renormalization group improvement of the effective superpotential for the ${\cal N}=2$ Chern-Simons-matter theory, explicitly obtain the improved effective potential and discuss the minima of…

High Energy Physics - Theory · Physics 2020-02-11 A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , Huan Souza

Apparently convergent contributions of resummed perturbative series at the next-to-leading order of the 1/N expansion in the O(N) model are reanalyzed in terms of renormalizability. Compared to our earlier article [G. Fejos et al., Phys.…

High Energy Physics - Phenomenology · Physics 2015-06-19 G. Fejos , A. Patkos , Zs. Szep

Fluctuations are included in a chiral nucleon-meson model within the framework of the functional renormalization group. The model, with parameters fitted to reproduce the nuclear liquid-gas phase transition, is used to study the phase…

Nuclear Theory · Physics 2015-06-16 Matthias Drews , Thomas Hell , Bertram Klein , Wolfram Weise

We derive all the O(p^6) Chiral Perturbation Theory low-energy constants from a class of gravity dual models of QCD described by the Yang-Mills and Chern-Simons Lagrangian terms, with the chiral symmetry broken through boundary conditions…

High Energy Physics - Phenomenology · Physics 2015-06-05 P. Colangelo , J. J. Sanz-Cillero , F. Zuo

It has long been known that particles with short-range repulsive interactions in spatial dimension d=1 form universal quantum liquids in the low density limit: all properties can be related to those of the spinless free Fermi gas. Previous…

Superconductivity · Physics 2011-07-19 Predrag Nikolic , Subir Sachdev