Field theory equations Nikolay Marchuk 9781479328079 Books
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In this book, the equations of relativistic field theory are examined and, in particular, the covariance and symmetry properties of the Dirac-Maxwell and Dirac-Yang-Mills equations are considered. Several new sets of equations, called the model equations of field theory, are dealt with. These systems of equations reproduce the basic properties of standard systems of field theory equations. At the same time, the model equations exhibit a number of differences from the standard equations of field theory and, in particular, they have a new internal symmetry with respect to the pseudo-unitary (or symplectic, or spinor) group. Development of the concept of local pseudo-unitary (symplectic, spinor) symmetry of the model equations of field theory leads to momentous consequences. In certain sections of the book, the mathematical tools of Clifford and Atyah-Kahler algebras are applied.
Field theory equations Nikolay Marchuk 9781479328079 Books
The author develops so called model field theory equations namely Dirac, Dirac-Maxwell, and Dirac-Yang-Mills model equations. This is a novel approach which provides the unique possibility to treat all aforementioned equations in the same framework. These equations have unitary and additional pseudo-unitary gauge symmetries. From the model equations one can derive standard field theory equations (Dirac, Dirac-Maxwell, and Dirac-Yang-Mills equations). Hence the model field theory equations can be considered as an interesting generalization of the standard field theory equations. The derivations are mathematically correct and nontrivial.This book can be interesting for those physicists and mathematicians
a) who interested in new approaches and new methods in Quantum Field Theory;
b) who interested in Clifford algebras.
P.S. It seems that methods presented in this book can be applied to supersymmentric models.
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Field theory equations Nikolay Marchuk 9781479328079 Books Reviews
The author develops so called model field theory equations namely Dirac, Dirac-Maxwell, and Dirac-Yang-Mills model equations. This is a novel approach which provides the unique possibility to treat all aforementioned equations in the same framework. These equations have unitary and additional pseudo-unitary gauge symmetries. From the model equations one can derive standard field theory equations (Dirac, Dirac-Maxwell, and Dirac-Yang-Mills equations). Hence the model field theory equations can be considered as an interesting generalization of the standard field theory equations. The derivations are mathematically correct and nontrivial.
This book can be interesting for those physicists and mathematicians
a) who interested in new approaches and new methods in Quantum Field Theory;
b) who interested in Clifford algebras.
P.S. It seems that methods presented in this book can be applied to supersymmentric models.
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