Diffeomorphism Group Representations in Relativistic Quantum Field Theory
- Rutgers Univ., Piscataway, NJ (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
We explore the role played by the di eomorphism group and its unitary representations in relativistic quantum eld theory. From the quantum kinematics of particles described by representations of the di eomorphism group of a space-like surface in an inertial reference frame, we reconstruct the local relativistic neutral scalar eld in the Fock representation. An explicit expression for the free Hamiltonian is obtained in terms of the Lie algebra generators (mass and momentum densities). We suggest that this approach can be generalized to elds whose quanta are spatially extended objects.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1415360
- Report Number(s):
- LA-UR-17-31393
- Country of Publication:
- United States
- Language:
- English
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