Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Author: Oeckl, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148384
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation / R. Oeckl // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 33 назв. — англ.

We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the Kähler case, state spaces arise as spaces of holomorphic functions on linear spaces of classical solutions in...