The Lorentz Anomaly via Operator Product Expansion

Fredenhagen, Stefan; Hoppe, Jens; Hynek, Mariusz

doi:10.1063/1.4932960

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The Lorentz Anomaly via Operator Product Expansion

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Fredenhagen, Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Fredenhagen, S., Hoppe, J., & Hynek, M. (2015). The Lorentz Anomaly via Operator Product Expansion. Journal of Mathematical Physics, 56(10): 4932960, pp. 2302 -2302. doi:10.1063/1.4932960.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0024-638D-4

Abstract

The emergence of a critical dimension is one of the most striking features of
string theory. One way to obtain it is by demanding closure of the Lorentz
algebra in the light-cone gauge quantisation, as discovered for bosonic strings
more than fourty years ago. We give a detailed derivation of this classical
result based on the operator product expansion on the Lorentzian world-sheet.