The Nonlinear Quantum Field Theory as a Generalization of Standard Model (Geometrical Approach)

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9780980966749: The Nonlinear Quantum Field Theory as a Generalization of Standard Model (Geometrical Approach)

The author proposes a special nonlinear quantum field theory. In a linear approximation, this theory can be presented in the form of the Standard Model (SM) theory. The richer physical structure of this nonlinear theory makes it possible to exceed the limits of SM and remove its known incompleteness. We show that nonlinearity of the field is critical for the appearance of charges and masses of elementary particles, for confinement of quarks, and many other effects, whose description within the framework of SM causes difficulties. In this case, the mechanism of generation of masses is mathematically similar to Higgs's mechanism, but it is considerably simpler and does not include the additional particles. The proposed theory does not examine the theory of gravity, but reveals the mathematical similarity of the nonlinear field equations of both theories. The book is intended for undergraduate and graduate students studying the theory of elementary particles, as well as for specialists working in this field.

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About the Author:

Alexander G. Kyriakos, Ph.D, is a physicist whose research interests for several decades reside in the area of physics of elementary particles. The author of several books on this subject, he presents a brief version of his fundamental research to the English speaking audience for the first time, right at the moment when physicist begin to look for alternatives to the presently dominating approaches that did not produce expected results.

Review:

The book The Nonlinear Quantum Field Theory as a Generalization of Standard Model (Geometrical Approach), by Alexander G. Kyriakos is dedicated to a nonlinear generalization of the Standard Model theory - the contemporary theory of elementary particles and their interactions. The Standard Model is a very successful theory. The majority of computational results based on this model are well-supported by experiments. However, as physicists think, the Standard Model is not the final theory of elementary particles. Several reasons hamper its recognition. First, the Standard Model contains many assumptions and postulates that make it possible to derive computational formulas; however these formulas are only loosely related to each other. Second, at least 18 important parameters of the theory cannot be calculated within its framework; it is necessary to introduce them externally. Third, the latest experimental results show that a very important part of Standard Model theory, which ensures the appearance of particles masses, known as Higgs s mechanism, may remain unconfirmed. In particular, the Higgs boson that is necessary for this mechanism was not discovered in almost the whole possible range of energies (the remaining range of energies must be tested until 2011, but the likelihood of detecting a Higgs boson in these range is small). The theory, presented in the book, proposes a solution to this difficult problem. In quantum field theory, namely in Standard Model theory, the state of a system is described by elements of Hilbert space. The Hilbert space is a generalization of the linear Euclidean vector space to the infinite-dimensional case. In other words, Hilbert space is a special case of linear space. In this regard, quantum field theory has been considered and consequently developed as a linear theory. It occurs that there is a nonlinear generalization of the Standard Model, which preserves all of its achievements and overcomes all of its difficulties. On the basis of the proposed theory, it is possible to assert that the world of elementary particles is, in general, nonlinear. However, it can be shown that a special type of nonlinearity makes it possible to describe elementary particles by linear methods in the majority of practical cases; in particular, the cases where there is experimental verification of results. At the same time, the majority of difficulties of the Standard Model theory are related to nonlinearity, and these problems can be solved if nonlinearity is taken into account. Then, the appearance of particles masses can be described by a mechanism similar to the Higgs mechanism, and the existence of Higgs bosons is not required in this case. The proposed theory is strictly axiomatic. It is based on a small number of postulates, and is capable of explaining all special mathematical features of the Standard Model, which in many instances remain speculative. Unfortunately, some publishing obstacles did not allow the publication of the whole book. In this version, only principles of the theory have been described. The majority of the theory s results were not included in this book. (A complete description of the theory could double the size of the present version of the book). --Editorial review solicited by AKVY Press

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Descrizione libro Akvy Press, 2009. Paperback. Condizione libro: Brand New. first edition. 164 pages. 9.00x6.00x0.35 inches. In Stock. Codice libro della libreria 0980966744

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