Quantum theory as an emergent phenomenon : the statistical mechanics of matrix models as the precursor of quantum field theory /

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"This book develops a new approach, based on the proposal that quantum theory is not a complete, final theory, but is in fact an emergent phenomenon arising from a deeper level of dynamics. The dynamics at this deeper level is taken to be an extension of classical dynamics to non-commuting matr...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Adler, Stephen L.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2004.
Temas:
Quantum theory.
Physics.
Quantum Theory
Physics
Théorie quantique.
Physique.
physics.
SCIENCE > Physics > Quantum Theory.
Quantenmechanik
Statistische Mechanik
Kwantummechanica.
Statistische mechanica.
Mecânica quântica.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • The quantum measurement problem
  • Reinterpretations of quantum mechanical foundations
  • Motivations for believing that quantum mechanics is incomplete
  • Brief historical remarks on trace dynamics
  • Trace dynamics: the classical Lagrangian and Hamiltonian dynamics of matrix models
  • Bosonic and fermionic matrices and the cyclic trace identities
  • Derivative of a trace with respect on an operator
  • Lagrangian and Hamiltonian dynamics of matrix models
  • The generalized Poisson bracket, its properties, and applications
  • Trace dynamics contrasted with unitary Heisenberg picture dynamics
  • Additional generic conserved quantities
  • The trace "fermion number" N
  • The conserved operator C
  • Conserved quantities for continuum spacetime theories
  • An illustrative example: a Dirac fermion coupled to a scalar Klein-Gordon field
  • Symmetries of conserved quantities under p[subscript F left and right arrow] q[subscript F]
  • Trace dynamics models with global supersymmetry
  • The Wess-Zumino model
  • The supersymmetric Yang-Mills model
  • The matrix model for M theory
  • Superspace considerations and remarks
  • Statistical mechanics of matrix models
  • The Liouville theorem
  • The canonical ensemble
  • The microcanonical ensemble
  • Gauge fixing in the partition function
  • Reduction of the Hilbert space modulo i[subscript eff]
  • Global unitary fixing
  • The emergence of quantum field dynamics
  • The general Ward identity
  • Variation of the source terms
  • Approximations/assumptions leading to the emergence of quantum theory.

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