Hamiltonian Monte-Carlo calculation in two-dimensional SU(a) QCD with fermions
Thesis/Dissertation
·
OSTI ID:6016968
SU(2) Yang-Mills theory coupled to an unflavored fermion on a two dimensional lattice is studied using the projector Monte Carlo method. This method involves the numerical evaluation of the projection operator onto the lowest-lying quantum state. It is based on a direct-space, imaginary-time representation of the fields. The imaginary time interval is broken into small slices and a complete set of states is inserted at each time slice. Then the hamiltonian is broken up and a local algorithm is obtained. The method involves propagation through gauge invariant states defined so that all transitions have positive amplitudes. The vacuum energy and mass of the lightest baryon are studied of the model and it is concluded that the Hamiltonian Monte Carlo method does work.
- Research Organization:
- Rutgers--the State Univ., New Brunswick, NJ (USA)
- OSTI ID:
- 6016968
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
DATA
ELEMENTARY PARTICLES
ENERGY
FERMIONS
FIELD THEORIES
HADRONS
HAMILTONIANS
INFORMATION
LIE GROUPS
MASS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MONTE CARLO METHOD
NUMERICAL DATA
PROJECTION OPERATORS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
THEORETICAL DATA
YANG-MILLS THEORY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
DATA
ELEMENTARY PARTICLES
ENERGY
FERMIONS
FIELD THEORIES
HADRONS
HAMILTONIANS
INFORMATION
LIE GROUPS
MASS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MONTE CARLO METHOD
NUMERICAL DATA
PROJECTION OPERATORS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
THEORETICAL DATA
YANG-MILLS THEORY