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One would be surprised if Nature had made no use of it. P.A.M. Dirac According to some dictionaries, one meaning of the notion of beauty is symmetry . Probably, beauty is not entirely in the eye of the beholder . It seemstoberelatedtothesymmetryoftheobject.Fromaphysicalviewpoint, this de?nition is very attractive: it allows us to describe a central concept of theoretical physics over the last two centuries as being a quest for higher symmetry of Nature. The more symmetric the theory, the more beautiful it looks. Unfortunately, our imperfect (at least at low-energy scale) world is full of...

An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions.

One would be surprised if Nature had made no use of it. P.A.M. Dirac According to some dictionaries, one meaning of the notion of beauty is symmetry . Probably, beauty is not entirely in the eye of the beholder . It seemstoberelatedtothesymmetryoftheobject.Fromaphysicalviewpoint, this de?nition is very attractive: it allows us to describe a central concept of theoretical physics over the last two centuries as being a quest for higher symmetry of Nature. The more symmetric the theory, the more beautiful it looks. Unfortunately, our imperfect (at least at low-energy scale) world is full of...

This text explains the features of quantum and statistical field systems that result from their field-theoretic nature and are common to different physical contexts. It supplies the practical tools for carrying out calculations and discusses the meaning of the results. The central concept is that of effective action (or free energy), and the main technical tool is the path integral, although other formalisms are also mentioned. The author emphasizes the simplest models first, then progresses to discussions of real systems before addressing more general and rigorous conclusions. The book is...