Kinematics of arbitrary spin matter fields in loop quantum gravity
| Autor: | Hanno Sahlmann, Refik Mansuroglu |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Physics Spacetime 010308 nuclear & particles physics Scalar (physics) FOS: Physical sciences Observable General Relativity and Quantum Cosmology (gr-qc) Loop quantum gravity Coupling (probability) 01 natural sciences General Relativity and Quantum Cosmology Symmetry (physics) Theoretical physics High Energy Physics - Theory (hep-th) 0103 physical sciences Spin network 010306 general physics Spin-½ |
| Zdroj: | Physical Review D. 103 |
| ISSN: | 2470-0029 2470-0010 |
| Popis: | Loop quantum gravity envisions a small scale structure of spacetime that is markedly different from that of the classical spacetime continuum. This has ramifications for the excitation of matter fields and for their coupling to gravity. There is a general understanding of how to formulate scalar fields, spin $\frac{1}{2}$ fields and gauge fields in the framework of loop quantum gravity. The goal of the present work is to investigate kinematical aspects of this coupling. We will study implications of the Gau{\ss} and diffeomorphism constraint for the quantum theory: We define and study a less ambiguous variant of the Baez-Krasnov path observables, and investigate symmetry properties of spin network states imposed by diffeomorphism group averaging. We will do this in a setting which allows for matter excitations of spin $\frac{1}{2}$ and higher. In the case of spin $\frac{1}{2}$, we will also discuss extensions of it by introducing an electromagnetic field and antiparticles. We finally discuss in how far the picture with matter excitations of higher spin can be obtained from classical actions for higher spin fields. Comment: 21 pages v2: Minor changes and rearrangements of the text, removed various typos. Version essentially identical to the one published in PRD |
| Databáze: | OpenAIRE |
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