Universität zu Köln

Klevtsov, Semyon and Zelditch, Steve (2014). Stability and integration over Bergman metrics. J. High Energy Phys. (7). NEW YORK: SPRINGER. ISSN 1029-8479

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Abstract

We study partition functions of random Bergman metrics, with the actions defined by a class of geometric functionals known as 'stability functions'. We introduce a new stability invariant - the critical value of the coupling constant - defined as the minimal coupling constant for which the partition function converges. It measures the minimal degree of stability of geodesic rays in the space the Bergman metrics, with respect to the action. We calculate this critical value when the action is the v-balancing energy, and show that gamma(crit)(k) = k-h on a Riemann surface of genus h.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Klevtsov, Semyon UNSPECIFIED UNSPECIFIED UNSPECIFIED Zelditch, Steve UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-433763
DOI:	10.1007/JHEP07(2014)100
Journal or Publication Title:	J. High Energy Phys.
Number:	7
Date:	2014
Publisher:	SPRINGER
Place of Publication:	NEW YORK
ISSN:	1029-8479
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SCALAR CURVATURE; PROJECTIVE EMBEDDINGS; TEST-CONFIGURATIONS; KAHLER; INEQUALITIES; 2D Multiple languages Physics, Particles & Fields Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/43376