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Volume 11
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10.3390/universe11080262
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Article

Chern–Simons States in SO(1,n)Yang–Mills Gauge Theory of Quantum Gravity

by
Zbigniew Haba
Institute of Theoretical Physics, University of Wroclaw, Plac Maxa Borna 9, 50-204 Wroclaw, Poland
Universe 2025, 11(8), 262; https://doi.org/10.3390/universe11080262
Submission received: 15 June 2025 / Revised: 25 July 2025 / Accepted: 5 August 2025 / Published: 7 August 2025
(This article belongs to the Special Issue Loop Quantum Gravity and Non-Perturbative Approaches to Quantum Cosmology, Second Edition)
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Abstract

We discuss a quantization of the Yang–Mills theory with an internal symmetry group SO(1,n) treated as a unified theory of all interactions. In one-loop calculations, we show that Einstein gravity can be considered as an approximation to gauge theory. We discuss the role of the Chern–Simons wave functions in the quantization.
Keywords: quantum Yang–Mills theory; gauge theory of gravity; loop variables; Chern–Simons wave functions quantum Yang–Mills theory; gauge theory of gravity; loop variables; Chern–Simons wave functions

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MDPI and ACS Style

Haba, Z. Chern–Simons States in SO(1,n)Yang–Mills Gauge Theory of Quantum Gravity. Universe 2025, 11, 262. https://doi.org/10.3390/universe11080262

AMA Style

Haba Z. Chern–Simons States in SO(1,n)Yang–Mills Gauge Theory of Quantum Gravity. Universe. 2025; 11(8):262. https://doi.org/10.3390/universe11080262

Chicago/Turabian Style

Haba, Zbigniew. 2025. "Chern–Simons States in SO(1,n)Yang–Mills Gauge Theory of Quantum Gravity" Universe 11, no. 8: 262. https://doi.org/10.3390/universe11080262

APA Style

Haba, Z. (2025). Chern–Simons States in SO(1,n)Yang–Mills Gauge Theory of Quantum Gravity. Universe, 11(8), 262. https://doi.org/10.3390/universe11080262

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