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Holographic Renormalization for Fermions in Real Time

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Korovin,  Yegor
LMU Munich;
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1107.0558.pdf
(Preprint), 498KB

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Citation

Korovin, Y. (2011). Holographic Renormalization for Fermions in Real Time (Master Thesis, 2011). Retrieved from http://arxiv.org/abs/1107.0558.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0029-7019-B
Abstract
We consider the real-time holography on Anti-de-Sitter (AdS) and more generally on Lifshitz spacetimes for spinorial fields. The equation of motion for fermions on general Lifshitz space is derived. Analytically solvable cases are identified. On AdS space we derived time-ordered, time-reversed, advanced and retarded propagators with the correct i \epsilon-insertions. Using the Keldysh-Schwinger contour we also calculated a propagator on thermal AdS. For massless fermions on the Lifshitz spacetime with z=2 we calculated the Euclidean 2-point function and explored the structure of divergences of the on-shell action for general values of z and mass m. The covariant counterterm action is derived.