An introduction to the general boundary formulation of quantum field theory

[摘要] We give a brief introduction to the so-called general boundary formulation (GBF) of quantum theory. This new axiomatic formulation provides a description of the quantum dynamics which is manifestly local and does not rely on a metric background structure for its definition. We present the basic ingredients of the GBF, in particular we review the core axioms that assign algebraic structures to geometric ones, the two quantisation schemes so far developed for the GBF and the probability interpretation which generalizes the standard Born rule. Finally we briefly discuss some of the results obtained studying specific quantum field theories within the GBF.

[发布机构] Escuela Nacional de Estudios Superiores, Unidad Morelia, Universidad Nacional Autónoma de México, Campus Morelia, Michoacán, Morelia; C.P. 58190, Mexico^1

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Algebraic structures;Born rule;Quantisation;Quantum dynamics;Quantum field theory