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We study a $\phi^4$-theory at finite temperature in a finite volume. Quantum, thermal and volume fluctuations are treated with the functional renormalisation group. Specifically, we focus on the interplay of temperature and length scales…

High Energy Physics - Phenomenology · Physics 2015-04-21 Leonard Fister , Jan Martin Pawlowski

We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A…

High Energy Physics - Theory · Physics 2010-04-06 Jan M. Pawlowski

The functional renormalisation group (FRG) approach is employed to study Bose polarons at finite temperatures in the regime of strong attractive bath-impurity interactions. Both two- and three-dimensional configurations are considered. The…

Quantum Gases · Physics 2025-01-20 Felipe Isaule

The leading divergences of the generating functional for Green functions of quark currents between one--nucleon states are calculated with heat kernel techniques. The results allow for a chiral invariant renormalization of all two--nucleon…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. Ecker

Recent topics on mesons in nuclei are discussed by especially emphasizing the role of the partial restoration of chiral symmetry in the nuclear medium. The spontaneously broken chiral symmetry in vacuum is considered to be incompletely…

Nuclear Theory · Physics 2017-08-02 Daisuke Jido

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

We present a model of baryonic matter which contains free constituent quarks in addition to bound constituent quarks in nucleons. In addition to the common linear sigma-model we include the exchange of vector-mesons. The percentage of free…

Nuclear Theory · Physics 2009-10-31 J. Meyer , K. Schwenzer , H. -J. Pirner

A semi-analytic approach to the computation of the non-linear power-spectrum of dark matter density fluctuations is proposed. The method is based on the Renormalization Group technique and can be applied to any underlying cosmological…

Astrophysics · Physics 2008-11-26 Sabino Matarrese , Massimo Pietroni

A compressible liquid-drop approach adjusted to uniform matter many-body calculations based on chiral EFT interactions and to the experimental nuclear masses is used to investigate the neutron star crust properties. Eight chiral EFT…

Nuclear Theory · Physics 2021-09-27 Grams , G. , Margueron , J. , Somasundaram , R. , Reddy , S

It is widely believed that chiral symmetry is restored not only at high temperatures, but also at high nuclear densities. The drop of the order parameter of the chiral phase transition, the chiral condensate, with density has indeed been…

High Energy Physics - Phenomenology · Physics 2009-01-30 Ulrich Mosel

The critical dynamics of the chiral symmetry breaking induced by gauge interaction is examined in the Wilson renormalization group framework in comparison with the Schwinger-Dyson approach. We derive the beta functions for the four-fermi…

High Energy Physics - Theory · Physics 2014-11-18 Ken-Ichi Aoki , Keiichi Morikawa , Jun-Ichi Sumi , Haruhiko Terao , Masashi Tomoyose

The neutron-matter equation of state constrains the properties of many physical systems over a wide density range and can be studied systematically using chiral effective field theory (EFT). In chiral EFT, all many-body forces among…

Nuclear Theory · Physics 2013-08-13 T. Krüger , I. Tews , K. Hebeler , A. Schwenk

Modern techniques of the renormalization group (RG) combined with effective field theory (EFT) methods are revolutionizing nuclear many-body physics. In these lectures we will explore the motivation for RG in low-energy nuclear systems and…

Nuclear Theory · Physics 2015-06-04 R. J. Furnstahl

Nuclear mass autocorrelations are investigated as a function of the number of nucleons. The fluctuating part of these autocorrelations is modeled by a parameter free model in which the nucleons are confined in a rigid sphere. Explicit…

Nuclear Theory · Physics 2009-11-11 Antonio M. Garcia-Garcia , Jorge G. Hirsch , Alejandro Frank

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

The relativistic mean field (RMF) model of the nuclear matter equation of state has been modified by including the effect of Pauli-blocking owing to quark exchange between the baryons. Different schemes of a chiral enhancement of the quark…

Nuclear Theory · Physics 2023-01-31 David Blaschke , Hovik Grigorian , Gerd Röpke

In this work, we study in detail the deconfinement phase transition that takes place in hot/dense nuclear matter in the context of neutron stars and proto-neutron stars (in which lepton fraction is fixed). The possibility of different…

Nuclear Theory · Physics 2018-12-05 J. Roark , V. Dexheimer

The temperature dependence of the chiral condensate in isospin-symmetric nuclear matter at varying baryon densities is investigated starting from a realistic free energy density of the correlated nuclear many-body system. The framework is…

Nuclear Theory · Physics 2011-04-15 S. Fiorilla , N. Kaiser , W. Weise

We calculate the density dependence of the $\rho$-meson mass and coupling constant($g_{\rho NN}$) for $\rho$-nucleon-nucleon vertex at one loop using the lagrangian where the $\rho$-meson is included as a dynamical gauge boson of a hidden…

High Energy Physics - Phenomenology · Physics 2016-09-06 Youngman Kim , Hyun Kyu Lee

We systematically investigate the vacuum stability and nuclear properties in the effective chiral model with higher order terms in $\sigma$. We evaluate the model parameters by considering the saturation properties of nuclear matter as well…

Nuclear Theory · Physics 2010-04-06 P. K. Sahu , K. Tsubakihara , A. Ohnishi