The locality condition in parafermi field theory

International Symposium on Mathematical Problems in Theoretical Physics - Lecture Notes in Physics ◽

10.1007/bfb0013307 ◽

2005 ◽

pp. 107-110

Author(s):

Y. Ohnuki ◽

S. Kamefuchi

Keyword(s):

Field Theory ◽

Locality Condition

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Locally covariant quantum field theory and the problem of formulating the same physics in all space–times

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2014.0238 ◽

2015 ◽

Vol 373 (2047) ◽

pp. 20140238 ◽

Cited By ~ 6

Author(s):

Christopher J. Fewster

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Scalar Field ◽

Covariant Theory ◽

Quantum Field ◽

Locality Condition ◽

Physical Content ◽

Covariant Quantum ◽

Dynamical Locality ◽

The Status

The framework of locally covariant quantum field theory is discussed, motivated in part using ‘ignorance principles’. It is shown how theories can be represented by suitable functors, so that physical equivalence of theories may be expressed via natural isomorphisms between the corresponding functors. The inhomogeneous scalar field is used to illustrate the ideas. It is argued that there are two reasonable definitions of the local physical content associated with a locally covariant theory; when these coincide, the theory is said to be dynamically local. The status of the dynamical locality condition is reviewed, as are its applications in relation to (i) the foundational question of what it means for a theory to represent the same physics in different space–times and (ii) a no-go result on the existence of natural states.

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