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Book
Non-perturbative field theory
Authors: ---
ISBN: 1009401653 1009401645 Year: 2023 Publisher: Cambridge : Cambridge University Press,

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Providing a new perspective on quantum field theory, this book gives a pedagogical exposition of non-perturbative methods in relativistic quantum field theory and introduces the reader to modern research in theoretical physics. After describing non-perturbative methods in detail, it uses these methods to explore two-dimensional and four-dimensional gauge dynamics. The book concludes with a summary emphasizing the interplay between two- and four-dimensional gauge theories. Aimed at graduate students and researchers, this book covers topics from two-dimensional conformal symmetry, affine Lie algebras, solitons, integrable models, bosonization, and 't Hooft model, to four-dimensional conformal invariance, integrability, large N expansion, Skyrme model, monopoles and instantons. Applications, first to simple field theories and gauge dynamics in two dimensions, and then to gauge theories in four dimensions and quantum chromodynamics in particular, are thoroughly described. Published originally in 2010, this title has been reissued as an Open Access publication on Cambridge Core.


Book
Recent Topics and Innovations in Quantum Field Theory
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ISBN: 1803551151 Year: 2023 Publisher: London : IntechOpen,

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In the mid-19th century, the scientific community was convinced that physics had been fully discovered and only isolated, peripheral issues remained unexplained. One of these was black body radiation (CDC) and the transformation of electromagnetic waves. In 1893, Wien proved that the wavelength at which CDC radiates the greatest amount of energy is inversely proportional to body temperature. Surprisingly, the formula resulting from current, reliable physics describes CDC radiation very well only at low frequencies. For ultraviolet frequencies, the obtained function was constantly upwards. Planck proposed the distribution of the CDC radiation spectrum, assuming that the radiation can only be emitted in precisely defined portions known as quanta. This was the year of the creation of quantum physics, one of the foundations of modern physics. Aristotle recognized that there is a distinctive frame of reference. This view was challenged by Galileo, who concluded that the speed and position of the body are relative. The Galilean transformation became the foundation of Newtonian physics. However, Maxwell's equations describing electromagnetic waves were not subject to the Galilean transformation but rather to the Lorentz transformation. The biggest problem at the beginning of the 20th century was the incompatibility of the laws of dynamics and electromagnetism. The theory of relativity is another foundation of modern physics. The last year of the 19th century debunked the myth of full understanding of the laws of nature. It quickly turned out that the knowledge about the universe at that time was very little. This lack of knowledge led to a rapid reconstruction of physics in the first half of the 20th century. is book discusses some of these subjects, including spinor fields, 5D relativity, dissipative quantum system and energy balance, centrifugal acceleration in relativistic astrophysics, and time-dependent photoluminescence.


Book
Field-theoretic simulations in soft matter and quantum fluids
Authors: ---
ISBN: 0192847481 9780192847485 Year: 2023 Publisher: New York Oxford University Press

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Book
Field theory of non-equilibrium systems
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ISBN: 1108846440 1108769268 Year: 2023 Publisher: Cambridge : Cambridge University Press,

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The physics of non-equilibrium many-body systems is a rapidly expanding area of theoretical physics. Traditionally employed in laser physics and superconducting kinetics, these techniques have more recently found applications in the dynamics of cold atomic gases, mesoscopic and nano-mechanical systems, and quantum computation. This book provides a detailed presentation of modern non-equilibrium field-theoretical methods, applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. A highly pedagogical and self-contained approach is adopted within the text, making it ideal as a reference for graduate students and researchers in condensed matter physics. The text has been substantially updated to include recent developments in the field. Problems have been added throughout, structured as compact guided research projects that encourage independent exploration.


Book
Quantum field theory : by Academician Prof. Kazuhiko Nishijima - a classic in theoretical physics
Authors: --- ---
ISBN: 9402421904 9402421890 Year: 2023 Publisher: Dordrecht, The Netherlands : Springer,

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Book
Gauge/string duality, hot QCD and heavy ion collisions
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ISBN: 1009403508 1009403494 Year: 2023 Publisher: Cambridge : Cambridge University Press,

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Heavy ion collision experiments recreating the quark-gluon plasma that filled the microseconds-old universe have established that it is a nearly perfect liquid that flows with such minimal dissipation that it cannot be seen as made of particles. String theory provides a powerful toolbox for studying matter with such properties. This book provides a comprehensive introduction to gauge/string duality and its applications to the study of the thermal and transport properties of quark-gluon plasma, the dynamics of how it forms, the hydrodynamics of how it flows, and its response to probes including jets and quarkonium mesons. Calculations are discussed in the context of data from RHIC and LHC and results from finite temperature lattice QCD. The book is an ideal reference for students and researchers in string theory, quantum field theory, quantum many-body physics, heavy ion physics and lattice QCD.


Book
Introduction to quantum fields on a lattice : 'a robust mate'
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ISBN: 1009402706 1009402749 Year: 2023 Publisher: Cambridge : Cambridge University Press,

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This book provides a concise introduction to quantum fields on a lattice: a precise and non-perturbative definition of quantum field theory obtained by replacing continuous space-time by a discrete set of points on a lattice. The path integral on the lattice is explained in concrete examples using weak and strong coupling expansions. Fundamental concepts such as 'triviality' of Higgs fields and confinement of quarks and gluons into hadrons are described and illustrated with the results of numerical simulations. The book also provides an introduction to chiral symmetry and chiral gauge theory, as well as quantized non-Abelian gauge fields, scaling and universality. Based on the lecture notes of a course given by the author, this book contains many explanatory examples and exercises, and is suitable as a textbook for advanced undergraduate and graduate courses. Originally published in 2002, this title has been reissued as an Open Access publication on Cambridge Core.


Book
Finite-temperature field theory : principles and applications.
Authors: ---
ISBN: 1009401963 1009401955 Year: 2023 Publisher: Cambridge : Cambridge University Press,

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This book develops the basic formalism and theoretical techniques for studying relativistic quantum field theory at high temperature and density. Specific physical theories treated include QED, QCD, electroweak theory, and effective nuclear field theories of hadronic and nuclear matter. Topics covered include: functional integral representation of the partition function, diagrammatic expansions, linear response theory, screening and plasma oscillations, spontaneous symmetry breaking, Goldstone theorem, resummation and hard thermal loops, lattice gauge theory, phase transitions, nucleation theory, quark-gluon plasma, and color superconductivity. Applications to astrophysics and cosmology cover white dwarf and neutron stars, neutrino emissivity, baryon number violation in the early universe, and cosmological phase transitions. Applications to relativistic nucleus-nucleus collisions are also included. The book is written for theorists in elementary particle physics, nuclear physics, astrophysics, and cosmology. Released initially in 2006, this title has been reissued as an Open Access publication on Cambridge Core.


Book
String-net construction of RCFT correlators
Authors: --- ---
ISBN: 3031146824 3031146816 Year: 2023 Publisher: Cham, Switzerland : Springer,

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This book studies using string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. The authors obtain concise geometric expressions for the objects describing bulk and boundary fields in terms of idempotents in the cylinder category of the underlying modular fusion category, comprising more general classes of fields than is standard in the literature. Combining these idempotents with Frobenius graphs on the world sheet yields string nets that form a consistent system of correlators, i.e. a system of invariants under appropriate mapping class groups that are compatible with factorization. The authors extract operator products of field objects from specific correlators; the resulting operator products are natural algebraic expressions that make sense beyond semisimplicity. They also derive an Eckmann-Hilton relation internal to a braided category, thereby demonstrating the utility of string nets for understanding algebra in braided tensor categories. Finally, they introduce the notion of a universal correlator. This systematizes the treatment of situations in which different world sheets have the same correlator and allows for the definition of a more comprehensive mapping class group.


Book
Some unusual topics in quantum mechanics
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ISBN: 3031359623 3031359615 Year: 2023 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This second edition of Some Unusual Topics in Quantum Mechanics builds upon the topics covered in the first, with additional chapters that delve deeper into the mathematical foundations of the subject. New topics include Hilbert spaces and unbounded operators, minimum uncertainty states, path integrals in general coordinates, Fock spaces, second quantization, relativistic particle states, and quantum fields. Historical insights are also included, such as a pre-history of matrix mechanics and Pauli's proof of the H-atom spectrum using O(4) symmetry. Finally, readers are introduced to Bell's inequality and the non-locality in quantum mechanics that is revealed through its violation. These topics are rarely covered in introductory textbooks but are crucial to developing a student's interest and deeper understanding of quantum mechanics. This book serves as valuable supporting material for graduate-level core courses on the subject.

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