Abstract
In this section, we assume there exists a partition of \(X: \,\,X=X^{+}\cup X^{-}\,, \,X^{+}\cap X^{-}= \phi \,{\rm\,{and\,an\,involution}} \,\rho \,{\rm{on\, X\, such\, that}}\,:\)
-
(a)
e is ρ-invariant
-
(b)
ρ exchanges X+ and X-.
-
(c)
The \(X^{+}\times X^{+}\, {\rm{matrix}} \,C_{x,y}^{\pm}=C_{x,\rho(y)}\), is nonnegative definite.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Jan, Y.L. (2011). Reflection Positivity. In: Markov Paths, Loops and Fields. Lecture Notes in Mathematics(), vol 2026. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21216-1_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-21216-1_9
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21215-4
Online ISBN: 978-3-642-21216-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)