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9 The Goldstone Theorem
The mechanism of SSB does not only provide a general strategy for unifying the description of apparently different systems, but it also provide...
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Introduction to Part II
These notes arose from courses given at the International School for Advanced Studies (Trieste) and at the Scuola Normale Superiore (Pisa) in various...
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Dynamical Theory of Parametric X-ray Radiation
Previous chapters demonstrate a close analogue between the theory of parametric X-ray radiation (PXR) in thin crystals and the kinematic theory of...
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6 Sectors with Energy-Momentum Density
We shall now discuss the requirement III of finite energy-momentum, briefly mentioned in the previous section. Clearly, the possibility of using...
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Noncommutative Line Bundles and Gerbes
We introduce noncommutative line bundles and gerbes within the framework of deformation quantization. The Seiberg-Witten map is used to construct the...
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Secondary Characteristic Classes of Lie Algebroids
We show how the intrinsic characteristic classes of Lie algebroids can be seen as characteristic classes of representations. We present two...
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Local Models for Manifolds with Symplectic Connections of Ricci Type*
We show that any symplectic manifold (Mω) of dimension 2n(n≥ 2) admitting a symplectic connection of Ricci type can locally be constructed by a...
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Hadron Structure and QCD: Effective Field Theory for Lattice Simulations
Chiral extrapolations will be essential for many years if one is to connect modern lattice QCD calculations with experiment. Given the enormous...
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Quark Propagator from LQCD and Its Physical Implications
The quark propagator lies at the core of lattice hadron spectrum calculations as well as studies in other nonperturbative schemes. It manifestly...
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13 Fermi and Bose Gas at Non-zero Temperature
As an example of symmmetry breaking at non-zero temperature we discuss the free Fermi and Bose gas, starting from finite volume and then discussing...
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1 Symmetries of a Classical System
The realization of symmetries in physical systems has proven to be of help in the description of physical phenomena: it makes it possible to relate...
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Radiation from a Charged Particle in Periodic Media: Classical Theory
The method of pseudophotons, considered in the previous chapter, is convenient for qualitative analysis of parametric X-ray radiation (PXR). PXR in...
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Prospective Applications of PXR
The previous chapters concern the fundamental properties of PXR, which have been experimentally observed and theoretically explained. The most recent...
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14 Quantum Fields at Non-zero Temperature
The general structure discussed above provides a neat and unique prescription for the quantization of relativistic fields at non-zero temperature...
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8 Examples
The model describes the simplest non-linear field theory and it can be regarded as a prototype of field theories in one space dimension (s=1). The...
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Electromagnetic Radiation from a Charged Particle in Crystals: Qualitative Consideration
Electromagnetic radiation caused by motion of a charged particle has been studied for more than 100 years. It was firmly believed for an appreciable...
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Baryon Spectroscopy in Lattice QCD
We review recent developments in the study of excited baryon spectroscopy in lattice QCD. After introducing the basic methods used to extract masses...
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Hadron Properties with FLIC Fermions
The Fat-Link Irrelevant Clover (FLIC) fermion action provides a new form of nonperturbative O(a)-improvement in lattice fermion actions offering near...
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Euclidean Quantum Field Theory on Commutative and Noncommutative Spaces
I give an introduction to Euclidean quantum field theory from the point of view of statistical physics, with emphasis both on Feynman graphs and on...
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An Infinite Family of Isospectral Pairs Topological Aspects
We give some basic properties of the isospectral pairs (Γ,Γ) of two bipartite graphs Γ and Γ. Then we present a systematic method of constructing an...