Lattice Quantum Field Theory of the Dirac and Gauge Fields

Quantum Chromodynamics is the theory of strong interactions: a quantum field theory of colored gluons (Yang–Mills gauge fields) coupled to quarks (Dirac fermion fields). Lattice gauge theory is defined by discretizing spacetime into a four-dimensional lattice — and entails defining gauge fields and Dirac fermions on a lattice. The applications of lattice gauge theory are vast, from the study of high-energy theory and phenomenology to the numerical studies of quantum fields.Lattice Quantum Field Theory of the Dirac and Gauge Fields: Selected Topics examines the mathematical foundations of lattice gauge theory from first principles. It is indispensable for the study of Dirac and lattice gauge fields and lays the foundation for more advanced and specialized studies.Contents: AcknowledgmentsPrefaceSynopsisMathematical Background:SU(N) Compact Lie GroupsSU(N) Kac-Moody AlgebraSU(N) Path IntegralsSU(3) Character FunctionsFermion CalculusLattice Gauge Field:Non-Abelian Lattice Gauge FieldAbelian Lattice Gauge Field in d = 3Lattice Gauge Field Mass RenormalizationGauge Field Block-Spin RenormalizationLattice Gauge Field HamiltonianLattice Dirac Field:Dirac Lattice Path IntegralDirac HamiltonianLattice Gauge Theory Hamiltonian:Lattice Gauge Theory HamiltonianBibliographyIndex
Readership: Graduate students and researchers in theoretical physics.Quantum Field Theory;Lattice Gauge Field;Fermion00