scholarly journals RG flows with global symmetry breaking and bounds from chaos

2022 ◽  
Vol 105 (2) ◽  
Author(s):  
Sandipan Kundu
2020 ◽  
Vol 2020 (0) ◽  
pp. OS02-04
Author(s):  
Akito KUNIHIRO ◽  
Masaki SHIMIZU ◽  
Genta KAWAHARA

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 547 ◽  
Author(s):  
Catalina Curceanu ◽  
Carlo Guaraldo ◽  
Diana Sirghi ◽  
Aidin Amirkhani ◽  
Ata Baniahmad ◽  
...  

Kaonic atoms measure the antikaon-nucleus interaction at almost zero relative energy, allowing one to determine basic low-energy quantum chromodynamics (QCD) quantities, namely, the antikaon-nucleon ( K ¯ N) scattering lengths. The latter are important for extracting the sigma terms which are built on the symmetry breaking part of the Hamiltonian, thereby providing a measure of chiral and SU(3) symmetries breaking. After discussing the sigma terms and their relations to the kaonic atoms, we describe the most precise measurement in the literature of kaonic hydrogen, performed at LNF-INFN by the SIDDHARTA experiment. Kaonic deuterium is still to be measured, and two experiments are planned. The first, SIDDHARTA-2 at LNF-INFN was installed on DA Φ NE in spring 2019 and will collect data in 2020. The second, E57 at J-PARC, will become operative in 2021.


2020 ◽  
Vol 142 (1) ◽  
pp. 163-199
Author(s):  
Shrinidhi S. Pandurangi ◽  
Ryan S. Elliott ◽  
Timothy J. Healey ◽  
Nicolas Triantafyllidis

Author(s):  
Marcos Marino

This article focuses on chiral random matrix theories with the global symmetries of quantum chromodynamics (QCD). In particular, it explains how random matrix theory (RMT) can be applied to the spectra of the Dirac operator both at zero chemical potential, when the Dirac operator is Hermitian, and at non-zero chemical potential, when the Dirac operator is non-Hermitian. Before discussing the spectra of these Dirac operators at non-zero chemical potential, the article considers spontaneous symmetry breaking in RMT and the QCD partition function. It then examines the global symmetries of QCD, taking into account the Dirac operator for a finite chiral basis, as well as the global symmetry breaking pattern and the Goldstone manifold in chiral random matrix theory (chRMT). It also describes the generating function for the Dirac spectrum and applications of chRMT to QCD to gauge degrees of freedom.


1992 ◽  
Vol 06 (03) ◽  
pp. 151-159 ◽  
Author(s):  
ROBERTO LIVI ◽  
ARIANNA MONTORSI ◽  
MARIO RASETTI

The effects of different linearization procedures as breaking of the global symmetry of the Hubbard model recently discovered by Yang and Zhang are discussed, together with the ensuing order parameters. In particular it is pointed out how only the Fermi linearization technique allows us both to restore the complete symmetry in the disordered phase, and to describe an ordered phase characterized by an order parameter associated with the breaking of the superconductive symmetry.


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