Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking PDF Download
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Author: Takahiro Doi
Publisher: Springer
ISBN: 9811065969
Category : Science
Languages : en
Pages : 69
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Book Description
This thesis focuses on an unresolved problem in particle and nuclear physics: the relation between two important non-perturbative phenomena in quantum chromodynamics (QCD) – quark confinement and chiral symmetry breaking. The author develops a new analysis method in the lattice QCD, and derives a number of analytical formulae to express the order parameters for quark confinement, such as the Polyakov loop, its fluctuations, and the Wilson loop in terms of the Dirac eigenmodes closely related to chiral symmetry breaking. Based on the analytical formulae, the author analytically as well as numerically shows that at finite temperatures there is no direct one-to-one correspondence between them. The thesis describes this extraordinary achievement using the first-principle analysis, and proposes a possible new phase in which quarks are confined and chiral symmetry is restored.
Author: Takahiro Doi
Publisher: Springer
ISBN: 9811065969
Category : Science
Languages : en
Pages : 69
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Book Description
This thesis focuses on an unresolved problem in particle and nuclear physics: the relation between two important non-perturbative phenomena in quantum chromodynamics (QCD) – quark confinement and chiral symmetry breaking. The author develops a new analysis method in the lattice QCD, and derives a number of analytical formulae to express the order parameters for quark confinement, such as the Polyakov loop, its fluctuations, and the Wilson loop in terms of the Dirac eigenmodes closely related to chiral symmetry breaking. Based on the analytical formulae, the author analytically as well as numerically shows that at finite temperatures there is no direct one-to-one correspondence between them. The thesis describes this extraordinary achievement using the first-principle analysis, and proposes a possible new phase in which quarks are confined and chiral symmetry is restored.
Author:
Publisher:
ISBN:
Category : Field theory (Physics)
Languages : en
Pages : 984
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Book Description
Author: Takuya Kanazawa
Publisher: Springer Science & Business Media
ISBN: 4431541659
Category : Science
Languages : en
Pages : 145
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Book Description
Gaining a theoretical understanding of the properties of ultra-relativistic dense matter has been one of the most important and challenging goals in quantum chromodynamics (QCD). In this thesis, the author analyzes dense quark matter in QCD with gauge group SU(2) using low-energy effective theoretical techniques and elucidates a novel connection between statistical properties of the Dirac operator spectrum at high baryon chemical potential and a special class of random matrix theories. This work can be viewed as an extension of a similar correspondence between QCD and matrix models which was previously known only for infinitesimal chemical potentials. In future numerical simulations of dense matter the analytical results reported here are expected to serve as a useful tool to extract physical observables such as the BCS gap from numerical data on the Dirac spectrum.
Author: Claudia Ratti
Publisher: Springer Nature
ISBN: 3030672352
Category : Science
Languages : en
Pages : 224
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Book Description
In the last few years, numerical simulations of QCD on the lattice have reached a new level of accuracy. A wide range of thermodynamic quantities is now available in the continuum limit and for physical quark masses. This allows a comparison with measurements from heavy ion collisions for the first time. Furthermore, calculations of dynamical quantities are also becoming available. The combined effort from first principles and experiment allows to gain an unprecedented understanding of the properties of quark-gluon plasma. This concise text, geared towards postgraduate students and newcomers to the field, carefully introduces and reviews the state-of-the-art techniques and results from lattice simulations and connects them to the experimental information from RHIC and the LHC.
Author: Xiaofeng Luo
Publisher: Springer Nature
ISBN: 9811944415
Category : Science
Languages : en
Pages : 294
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Book Description
This book highlights the discussions by renown researchers on questions emerged during transition from the relativistic heavy-ion collider (RHIC) to the future electron ion collider (EIC). Over the past two decades, the RHIC has provided a vast amount of data over a wide range of the center of mass energies. What are the scientific priorities, after RHIC is shut down and turned to the future EIC? What should be the future focuses of the high-energy nuclear collisions? What are thermodynamic properties of quantum chromodynamics (QCD) at large baryon density? Where is the phase boundary between quark-gluon-plasma and hadronic matter at high baryon density? How does one make connections from thermodynamics learned in high-energy nuclear collisions to astrophysical topics, to name few, the inner structure of compact stars, and perhaps more interestingly, the dynamical processes of the merging of neutron stars? While most particle physicists are interested in Dark Matter, we should focus on the issues of Visible Matter! Multiple heavy-ion accelerator complexes are under construction: NICA at JINR (4 ~ 11 GeV), FAIR at GSI (2 ~ 4.9 GeV SIS100), HIAF at IMP (2 ~ 4 GeV). In addition, the heavy-ion collision has been actively discussed at the J-PARC. The book is a collective work of top researchers from the field where some of the above-mentioned basic questions will be addressed. We believe that answering those questions will certainly advance our understanding of the phase transition in early universe as well as its evolution that leads to today's world of nature.
Author: Laurent Lellouch
Publisher: Oxford University Press
ISBN: 0199691606
Category : Mathematics
Languages : en
Pages : 756
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Book Description
The aim of the book is to familiarize the new generation of PhD students and postdoctoral fellows with the principles and methods of modern lattice field theory, which aims to resolve fundamental, non-perturbative questions about QCD without uncontrolled approximations.
Author: Joseph I. Kapusta
Publisher: Cambridge University Press
ISBN: 1009401955
Category : Science
Languages : en
Pages : 443
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Book Description
Author: Rudolph C. Hwa
Publisher: World Scientific
ISBN: 9812795537
Category : Science
Languages : en
Pages : 786
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Book Description
Annotation. Text reviews the major topics in Quark-Gluon Plasma, including: the QCD phase diagram, the transition temperature, equation of state, heavy quark free energies, and thermal modifications of hadron properties. Includes index, references, and appendix. For researchers and practitioners.
Author: Jorge Casalderrey-Solana
Publisher: Cambridge University Press
ISBN: 1009403494
Category : Science
Languages : en
Pages : 469
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Book Description
Author: Misha Shifman
Publisher: World Scientific
ISBN: 9812560009
Category : Condensed matter
Languages : en
Pages : 900
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Book Description
