Confinement and Chiral Symmetry Breaking in CP N-1 Models with Quarks PDF Download
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Author: A. D'Adda
Publisher:
ISBN:
Category :
Languages : en
Pages : 36
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Book Description
Author: A. D'Adda
Publisher:
ISBN:
Category :
Languages : en
Pages : 36
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Book Description
Author: Michael Creutz
Publisher:
ISBN: 9789813229242
Category : Particles (Nuclear physics)
Languages : en
Pages : 205
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 6
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Book Description
Using a covariant model of mesons developed previously, we obtain new numerical solutions for the light-quark sector, and show explicitly how the small mass of the pion emerges as a natural consequence of chiral-symmetry breaking. Then we generalize the model, and show how chiral-symmetry breaking and confinement could be realized through completely independent mechanisms with different mass scales. In particular, the confining potential can be chosen to be purely scalar, as suggested by lattice studies and phenomenology, and the remaining part of the interaction can be chosen to be chirally invariant. In a symmetry-breaking mode, this new model can still generate quark mass and a massless-pion bound state.
Author: Nathan Isgur
Publisher: World Scientific
ISBN: 9789810242367
Category : Science
Languages : en
Pages : 384
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Book Description
The confinement mechanism of the quarks in QCD is one of the most challenging and open problems in physics. Confinement is a nonperturbative phenomenon, and a definite way to handle it has not yet been found in field theory. There are lattice calculations that can produce the low-lying states of the spectrum and ?measure? many important physical quantities, but nevertheless the development of analytical techniques is of extreme importance for understanding the physics involved in confinement. In this respect it is important to test the results obtained directly from the theory (Bethe-Salpeter kernel, effective Hamiltonians, quark potential, etc.) on the spectrum, form factors and decays of bound states of quarks and gluons, and to relate them to the results of lattice theory.In this book, the question of the confinement mechanism is addressed; explanations in terms of monopoles, instantons and dyons are reviewed and the connection with duality is discussed.
Author: G.V Efimov
Publisher: CRC Press
ISBN: 9780750302401
Category : Science
Languages : en
Pages : 196
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Book Description
Filling the gap in the literature on low-energy quark models, The Quark Confinement Model of Hadrons investigates confinement effects in the low-energy regions of particle physics using the methods of nonlocal quantum field theory. It also elucidates their role in describing microscopic quantities that characterize hadron-hadron interactions. The authors present a quark confinement model to describe the low-energy physics of light hadrons. Hadrons are treated as collective colorless excitations of quark-gluon interactions while the quark confinement is to be provided by averaging over gluon backgrounds. The model is shown to reproduce the low-energy relations of chiral theory in the case of null momenta and, in addition, allow the researcher to obtain more sophisticated hadron characteristics, such as slope parameters and form factors. Presenting a unified view on a number of low-energy phenomena, The Quark Confinement Model of Hadrons enables an understanding of problems related to the treatment of large distances within quantum chromodynamics.
Author: N. Brambilla
Publisher: World Scientific
ISBN: 981238393X
Category : Technology & Engineering
Languages : en
Pages : 551
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Book Description
This book provides an update on our understanding of strong interaction, with theoretical and experimental highlights included. It is divided into five sections. The first section is devoted to the investigations into and the latest results on the mechanism of quark confinement. The second and third sections focus respectively on light and heavy quarks (effective field theories, Schwinger-Dyson approach and lattice QCD results). The fourth section deals with the deconfinement mechanism and quark-gluon plasma formation signals. The last section presents highlights of experiments, new physics beyond QCD, and nonperturbative approaches in other theories (strings and SUSY) that may be useful in QCD.
Author: Nathan Isgur
Publisher: World Scientific
ISBN: 981449352X
Category : Science
Languages : en
Pages : 384
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Book Description
The confinement mechanism of the quarks in QCD is one of the most challenging and open problems in physics. Confinement is a nonperturbative phenomenon, and a definite way to handle it has not yet been found in field theory. There are lattice calculations that can produce the low-lying states of the spectrum and “measure” many important physical quantities, but nevertheless the development of analytical techniques is of extreme importance for understanding the physics involved in confinement. In this respect it is important to test the results obtained directly from the theory (Bethe-Salpeter kernel, effective Hamiltonians, quark potential, etc.) on the spectrum, form factors and decays of bound states of quarks and gluons, and to relate them to the results of lattice theory.In this book, the question of the confinement mechanism is addressed; explanations in terms of monopoles, instantons and dyons are reviewed and the connection with duality is discussed.
Author: Harleen Dahiya
Publisher: LAP Lambert Academic Publishing
ISBN: 9783843362719
Category :
Languages : en
Pages : 140
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Book Description
Quantum Chromodynamics (QCD) views hadrons as bound states of quarks and gluons. However, hadron structure studies involve non-perturbative aspects of QCD- confinement and chiral symmetry breaking which makes it a challenging task to understand. Considerable progress has been achieved through Non- Relativistic Quark Model which is based on very simple assumptions and gives a remarkable fit to many of the hadron spectroscopy data. However, starting with the observations in 1988 by the European Muon Collaboration, in the last decade or so extremely important information pertaining to spin and flavor structure of the proton have been discovered in the deep inelastic scattering experiments. The present experimental information is in contradiction with the predictions of Non- Relativistic Quark Model which referred to as "proton spin problem". The chiral constituent quark model probes the regime between the confinement scale and the chiral symmetry breaking scale. Several current experimental initiatives in this direction indicate the importance of the problem for high energy physics community.
Author: Wolfgang Lucha
Publisher: World Scientific
ISBN: 9814491454
Category :
Languages : en
Pages : 388
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Book Description
Quantum chromodynamics is generally accepted to be the quantum field theory which describes the strong interactions in elementary particle physics. However, the question of the mechanism responsible for the “confinement” of the color degrees of freedom of quarks and gluons into hadrons still ranks as one of the most interesting open problems in physics.This proceedings volume summarizes the state of the art in this area of research. Mathematically inclined readers will find the articles based on monopoles, vortices, and topology most interesting. Meanwhile, lattice calculations can be performed for many important physical quantities. Their results can be used as guidelines for developing models of quark confinement. These models are indispensable for theoretical physicists performing calculations with the Bethe-Salpeter equation, Dyson-Schwinger equations, effective Hamiltonians, and potential models. The cross-fertilization of all these subfields of research becomes evident from the articles in this book. A few experimental papers are also included.
Author: Kentaro Hori
Publisher: American Mathematical Soc.
ISBN: 0821829556
Category : Mathematics
Languages : en
Pages : 954
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Book Description
This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.
