# New variables for classical and quantum gravity

## Abstract

A Hamiltonian formulation of general relativity based on certain spinorial variables is introduced. These variables simplify the constraints of general relativity considerably and enable one to imbed the constraint surface in the phase space of Einstein's theory into that of Yang-Mills theory. The imbedding suggests new ways of attacking a number of problems in both classical and quantum gravity. Some illustrative applications are discussed.

- Authors:

- Publication Date:

- Research Org.:
- Physics Department, Syracuse University, Syracuse, New York, 13244-1130 and Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

- OSTI Identifier:
- 5077287

- Alternate Identifier(s):
- OSTI ID: 5077287

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev. Lett.; (United States)

- Additional Journal Information:
- Journal Volume: 57:18

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GENERAL RELATIVITY THEORY; HAMILTONIANS; QUANTUM GRAVITY; EINSTEIN FIELD EQUATIONS; PHASE SPACE; SU-2 GROUPS; YANG-MILLS THEORY; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SPACE; SU GROUPS; SYMMETRY GROUPS 657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation

### Citation Formats

```
Ashtekar, A.
```*New variables for classical and quantum gravity*. United States: N. p., 1986.
Web. doi:10.1103/PhysRevLett.57.2244.

```
Ashtekar, A.
```*New variables for classical and quantum gravity*. United States. doi:10.1103/PhysRevLett.57.2244.

```
Ashtekar, A. Mon .
"New variables for classical and quantum gravity". United States. doi:10.1103/PhysRevLett.57.2244.
```

```
@article{osti_5077287,
```

title = {New variables for classical and quantum gravity},

author = {Ashtekar, A.},

abstractNote = {A Hamiltonian formulation of general relativity based on certain spinorial variables is introduced. These variables simplify the constraints of general relativity considerably and enable one to imbed the constraint surface in the phase space of Einstein's theory into that of Yang-Mills theory. The imbedding suggests new ways of attacking a number of problems in both classical and quantum gravity. Some illustrative applications are discussed.},

doi = {10.1103/PhysRevLett.57.2244},

journal = {Phys. Rev. Lett.; (United States)},

number = ,

volume = 57:18,

place = {United States},

year = {1986},

month = {11}

}

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