A Chapter in Physical Mathematics: Theory of Knots in the Sciences
... This work was supported in part by the Istituto Nazionale di Fisica Nucleare and Dipartimento di Fisica, Universita di Firenze and by the Max Planck Institute for Mathematics in the Sciences, Leipzig. This paper is based on my Schloemann lecture given at Bad Lausick, Germany on May 22, 2000. In th ...
... This work was supported in part by the Istituto Nazionale di Fisica Nucleare and Dipartimento di Fisica, Universita di Firenze and by the Max Planck Institute for Mathematics in the Sciences, Leipzig. This paper is based on my Schloemann lecture given at Bad Lausick, Germany on May 22, 2000. In th ...
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... the four-vector Am has the familiar form of a gauge transformation in electrodynamics. Moreover, the covariant derivative, which prescribes the coupling between matter and the electromagnetic field, corresponds to the replacement pm ! pm7eAm for the momentum operator in the presence of an electromagn ...
... the four-vector Am has the familiar form of a gauge transformation in electrodynamics. Moreover, the covariant derivative, which prescribes the coupling between matter and the electromagnetic field, corresponds to the replacement pm ! pm7eAm for the momentum operator in the presence of an electromagn ...
The Facets of Relativistic Quantum Field Theory1
... quantum observables as its basic concept, such a symmetry would remain hidden, since it leaves the observable quantities unchanged. To achieve a renormalized perturbation theory in the case of a field theory showing local gauge symmetry requires a specific extension of such a construction. The formu ...
... quantum observables as its basic concept, such a symmetry would remain hidden, since it leaves the observable quantities unchanged. To achieve a renormalized perturbation theory in the case of a field theory showing local gauge symmetry requires a specific extension of such a construction. The formu ...
Classical field theory
... sum of two terms. One term involves an integral over δqi (t) multiplied by an expression that by definition is the Euler-Lagrange equation; the other term depends entirely on the values of δqi (t) (and possibly its derivatives) taken at the boundary of the integration domain. This can easily be show ...
... sum of two terms. One term involves an integral over δqi (t) multiplied by an expression that by definition is the Euler-Lagrange equation; the other term depends entirely on the values of δqi (t) (and possibly its derivatives) taken at the boundary of the integration domain. This can easily be show ...
Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
... At present there are only a few firmly established non-perturbative phenomena in 2+ 1 and, especially, 3+ 1 dimensional field theories. In this talk, I will describe one more such phenomenon: dynamical chiral symmetry breaking by a magnetic field. The talk is based on a series of the recent papers w ...
... At present there are only a few firmly established non-perturbative phenomena in 2+ 1 and, especially, 3+ 1 dimensional field theories. In this talk, I will describe one more such phenomenon: dynamical chiral symmetry breaking by a magnetic field. The talk is based on a series of the recent papers w ...
Graduate Course Descriptions - UC Berkeley Physics
... Yang-Mills gauge theories: BRST quantization of gauge theories; nonperturbative dynamics; renormalization group; basics of effective field theory; large N; solitons; instantons; dualities. Selected current topics. (SP) 233A. Standard Model and Beyond I. (4) Three hours of lecture and one hour of dis ...
... Yang-Mills gauge theories: BRST quantization of gauge theories; nonperturbative dynamics; renormalization group; basics of effective field theory; large N; solitons; instantons; dualities. Selected current topics. (SP) 233A. Standard Model and Beyond I. (4) Three hours of lecture and one hour of dis ...
http://arxiv.org/pdf/1208.5715v1.pdf
... which have fixed Mellin weights in AdS space [11] or fixed momentum in Minkowski space, have world sheet dimension two and their one point functions on spherical world sheets all vanish. In certain kinematic circumstances (large AdS radius, in string units, small values of the Mellin invariants/mome ...
... which have fixed Mellin weights in AdS space [11] or fixed momentum in Minkowski space, have world sheet dimension two and their one point functions on spherical world sheets all vanish. In certain kinematic circumstances (large AdS radius, in string units, small values of the Mellin invariants/mome ...
Topological Field Theories in 2 dimensions
... positioned cycles in X at any specified collection of marked points. (Actually, without some positivity property of the target manifold X, the curves must be counted in a virtual sense, taking account of obstructions.) A small exception concerns the case of one and two marked points, where extra inf ...
... positioned cycles in X at any specified collection of marked points. (Actually, without some positivity property of the target manifold X, the curves must be counted in a virtual sense, taking account of obstructions.) A small exception concerns the case of one and two marked points, where extra inf ...
Phases of Matter and Phase Transitions
... of what is called a phase transition. The theory of phase transitions was first developed by J. Willard Gibbs[9, 10], a late Nineteenth Century American scientist, who produce a definitive discussion of the subject called thermodynamics. Despite its name, thermodynamics is largely concerned with the ...
... of what is called a phase transition. The theory of phase transitions was first developed by J. Willard Gibbs[9, 10], a late Nineteenth Century American scientist, who produce a definitive discussion of the subject called thermodynamics. Despite its name, thermodynamics is largely concerned with the ...
Mixing Transformations in Quantum Field Theory and Neutrino
... of asymptotic in- (or out-) fields (also called free or physical fields) obtained by weak limit of Heisenberg or interacting fields for t → −(or+)∞. The dynamics, i.e. the Lagrangian and the resulting field equations, is given in terms of the Heisenberg fields. The meaning of weak limit is to provid ...
... of asymptotic in- (or out-) fields (also called free or physical fields) obtained by weak limit of Heisenberg or interacting fields for t → −(or+)∞. The dynamics, i.e. the Lagrangian and the resulting field equations, is given in terms of the Heisenberg fields. The meaning of weak limit is to provid ...
Phase-Coherent Transport through a Mesoscopic System: A New Probe V 80, N
... states present there. Unfortunately, important information is lost in conventional tunneling spectroscopy because only the amplitude jtj of the complex-valued transmission coefficient t jtjeif is measured. In a recent series of beautiful experiments, Yacoby et al. [1], Buks et al. [2], and Schuste ...
... states present there. Unfortunately, important information is lost in conventional tunneling spectroscopy because only the amplitude jtj of the complex-valued transmission coefficient t jtjeif is measured. In a recent series of beautiful experiments, Yacoby et al. [1], Buks et al. [2], and Schuste ...
Barad_On Touching--The Inhuman That Therefore I Am (v1.1)
... on the surface because there were no bits of charge here and there, just a single point carrying a negative charge. But the attempt to push one instability away just produced another, for if the electron is a point particle (and therefore has zero radius), then the selfenergy contribution—that is, t ...
... on the surface because there were no bits of charge here and there, just a single point carrying a negative charge. But the attempt to push one instability away just produced another, for if the electron is a point particle (and therefore has zero radius), then the selfenergy contribution—that is, t ...
laser-assisted electron-atom collisions
... To conclude, we shall now briefly describe a completely non-perturbative theory, the R-matrix-Floquet method, 25’26 which we have proposed to treat both the multiphoton ionization of atoms and laser-assisted electron-atom collisions. We consider an atomic system composed of a nucleus of atomic numbe ...
... To conclude, we shall now briefly describe a completely non-perturbative theory, the R-matrix-Floquet method, 25’26 which we have proposed to treat both the multiphoton ionization of atoms and laser-assisted electron-atom collisions. We consider an atomic system composed of a nucleus of atomic numbe ...
Duality, Phases, Spinors and Monopoles in SO (N) and Spin (N
... An aside about notation: since the magnetic monopoles in question are found in theories which are themselves “magnetic” descriptions of theories that may be in the free magnetic phase, there is obvious room for confusion. I therefore will abandon the commonly used terminology of “electric theory” an ...
... An aside about notation: since the magnetic monopoles in question are found in theories which are themselves “magnetic” descriptions of theories that may be in the free magnetic phase, there is obvious room for confusion. I therefore will abandon the commonly used terminology of “electric theory” an ...
Intersection Between SFT and Condensed Matter
... Traditionally, this has been studied using the boundary states. General construction not known! ...
... Traditionally, this has been studied using the boundary states. General construction not known! ...
