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Bosonization of Interacting Fermions in Arbitrary Dimensions (Softcover Reprint of the Original 1st 1997)

Bosonization of Interacting Fermions in Arbitrary Dimensions

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"Bosonization of Interacting Fermions in Arbitrary Dimensions" by Peter Kopietz is a mathematics book and learning resource focused on Cosmology. Best for teachers, students, and readers looking for stronger mathematical understanding.

The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d/I”1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary Id/I, so that in

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Best For: Researchers and graduate students in physics focusing on many-body problems and condensed matter theory.
Focus: A non-perturbative approach to the fermionic many-body problem using bosonization generalized to higher dimensions.
Covers: Theoretical foundations of bosonization, functional integration methods, Hubbard--Stratonovich transformations, and connections to diagrammatic perturbation theory.
Why It Matters: Provides a detailed and rigorous framework for extending bosonization techniques beyond one dimension, addressing limitations of previous methods in many-body physics.

"Bosonization of Interacting Fermions in Arbitrary Dimensions" by Peter Kopietz is a mathematics book and learning resource focused on Cosmology. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Cosmology

Author: Peter Kopietz

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d/I”1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary Id/I, so that in

AuthorPeter Kopietz
PublisherSpringer
Published2013-11-13
ISBN-139783662141694
BindingPaperback
Pages259
LanguageEnglish
SubjectsScience
TopicCosmology
SeriesLecture Notes in Physics Monographs

Format: Paperback

Length: 259 pages

Language: English

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