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The phase structure of particle physics shows up in matter at extremely high densities and/or temperatures as they were reached in the early universe, shortly after the big bang, or in heavy-ion collisions, as they are performed nowadays in laboratory experiments. In contrast to phase transitions of condensed matter physics, the underlying fundamental theories are better known than their macroscopic manifestations in phase transitions. These theories are quantum chromodynamics for the strong interaction part and the electroweak part of the Standard Model for the electroweak interaction. It is their non-Abelian gauge structure that makes it a big challenge to predict the type of phase conversion between phases of different symmetries and different particle contents. The book is about a variety of analytical and numerical tools that are needed to study the phase structure of particle physics. To these belong convergent and asymptotic expansions in strong and weak couplings, dimensional reduction, renormalization group studies, gap equations, Monte Carlo simulations with and without fermions, finite-size and finite-mass scaling analyses, and the approach of effective actions as supplement to first-principle calculations.
Professor Ziman's classic textbook on the theory of solids was first pulished in 1964. This paperback edition is a reprint of the second edition, which was substantially revised and enlarged in 1972. The value and popularity of this textbook is well attested by reviewers' opinions and by the existence of several foreign language editions, including German, Italian, Spanish, Japanese, Polish and Russian. The book gives a clear exposition of the elements of the physics of perfect crystalline solids. In discussing the principles, the author aims to give students an appreciation of the conditions which are necessary for the appearance of the various phenomena. A self-contained mathematical account is given of the simplest model that will demonstrate each principle. A grounding in quantum mechanics and knowledge of elementary facts about solids is assumed. This is therefore a textbook for advanced undergraduates and is also appropriate for graduate courses.
Phase Theory is the latest empirical and conceptual innovation in syntactic theory within the Chomskyan generative tradition. Adopting a cross-linguistic perspective, this book provides an introduction to Phase Theory, tracing the development of phases in minimalist syntax. It reviews both empirical and theoretical arguments in favor of phases, and examines the role phases play at the interface with semantics and phonology. Analyzing current phasehood diagnostics, it applies them in a systematic fashion to a broad range of syntactic categories, both phases and non-phases. It concludes with a discussion of some of the more contentious issues in Phase Theory, involving cross-linguistic variation with respect to phasehood and the dynamic versus static nature of phases.
This book provides a detailed and up to date review of the framework of phases (Chomsky 2000 and subsequent work). It explores the interaction between the narrow syntactic computation and the external systems from a minimalist perspective. As has sometimes been noted, Phase Theory is the current way to study the cyclic nature of the system, and 'phases' are therefore the natural locality hallmark, being directly relevant for phenomena such as binding, agreement, movement, islands, reconstruction, or stress assignment. This work discusses the different approaches to phases that have been proposed in the recent literature, arguing in favor of the thesis that the points of cyclic transfer are to be related to uninterpretable morphology (the Φ-features on the heads C and v*). This take on phases is adopted in order to investigate raising structures, binding, subjunctive dependents, and object shift (word order) in Romance languages, as well as the nature of islands.
Over the past decade, many issues leading towards refining the model have been identified for a theory of syntax under minimalist assumptions. One of the central questions within the current theoretical model, Phase Theory, is architectural in nature: Assuming a minimal structure of the grammar, how does the computational system manipulate the grammar to construct a well-formed derivation that takes items from the mental lexicon to the interpretive interfaces? This collection addresses this issue by exploring the design of the grammar and the tools of the theory in order to shed light on the nature of the interpretive interfaces, Logical Form and Phonetic Form, and their role in the syntactic computation. The chapters in this volume collectively contribute to a better understanding of the mapping from syntax to PF on the one hand, especially issues concerning prosody and Spell-Out, and semantic interpretation at LF on the other, including interpretive and architectural issues of more conceptual nature. Apart from careful case studies and specific data analysis for a number of languages, the material contained here also has repercussions for Phase Theory in general, theoretical underpinnings as well as modifications of syntactic mechanisms.
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