000 02427 a2200253 4500
003 OSt
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020 _a9789811209727
040 _cIIT Kanpur
041 _aeng
082 _a523.01972
_bG897p
100 _aGromov, Nikolai A.
245 _aParticles in the early universe
_bhigh-energy limit of the standard model from the contraction of its gauge group
_cNikolai A. Gromov
260 _bWorld Scientific
_c2020
_aNew Jersey
300 _axi, 159p
520 _aThe aim of this book is to develop a contraction method for classical orthogonal and unitary groups (algebras), and apply it to the investigation of physical structures, offering a new and unique interpretation to the high-energy limit of the Standard Model. Readers will find a comprehensive and rigorous study, summarized as follows: The space-time models (or kinematics) are described on the motion group level. The Jordan-Schwinger representations of the groups are shown to be closely connected to the properties of stationary quantum systems, whose Hamiltonians are quadratic in creation and annihilation operators. The high-temperature limit of the Standard Model is associated with the contraction of its gauge group, and the tending-to-zero contraction parameter is connected to the inverse average energy (temperature) of the Universe. This makes it possible to re-establish the evolution of particles and their interactions in the early Universe up to Planck energy, where readers shall discover that the properties of elementary particles change drastically in the infinite temperature limit: all particles lose mass, all quarks are monochromatic, electroweak interactions become long range and are mediated by neutral currents.Absent in all known literature, this book would be the first in describing the dynamics of particle properties and their interactions at different stages in the evolution of the Universe. Presenting both physical and mathematical approaches to various problems, and their applications to the physics of the early Universe, this book will be a valuable addition to the sparse literature on the subject matter.
650 _aSeries, Infinite
650 _aGroup theory
650 _aParticles (Nuclear physics) -- Mathematical models
650 _aStandard model (Nuclear physics)
650 _aGauge fields (Physics)
942 _cBK
999 _c565862
_d565862