Asymptotic behavior of the correlation functions for a Brownian oscillator with viscous aftereffects

1973 ◽  
Vol 16 (4) ◽  
pp. 459-461
Author(s):  
V. I. Fisher
Keyword(s):  
Asymptotic Behavior ◽  
Correlation Functions ◽  
Brownian Oscillator

scholarly journals Mocking the u-plane integral

2021 ◽  
Vol 8 (3) ◽  
Author(s):  
Georgios Korpas ◽  
Jan Manschot ◽  
Gregory W. Moore ◽  
Iurii Nidaiev
Keyword(s):  
Asymptotic Behavior ◽  
Gauge Theory ◽  
Entire Function ◽  
Gauge Group ◽  
Strong Coupling ◽  
Modular Forms ◽  
Correlation Functions ◽  
Coulomb Branch ◽  
Mock Modular Forms ◽  
Donaldson Invariants

AbstractThe u-plane integral is the contribution of the Coulomb branch to correlation functions of $${\mathcal {N}}=2$$ N = 2 gauge theory on a compact four-manifold. We consider the u-plane integral for correlators of point and surface observables of topologically twisted theories with gauge group $$\mathrm{SU}(2)$$ SU ( 2 ) , for an arbitrary four-manifold with $$(b_1,b_2^+)=(0,1)$$ ( b 1 , b 2 + ) = ( 0 , 1 ) . The u-plane contribution equals the full correlator in the absence of Seiberg–Witten contributions at strong coupling, and coincides with the mathematically defined Donaldson invariants in such cases. We demonstrate that the u-plane correlators are efficiently determined using mock modular forms for point observables, and Appell–Lerch sums for surface observables. We use these results to discuss the asymptotic behavior of correlators as function of the number of observables. Our findings suggest that the vev of exponentiated point and surface observables is an entire function of the fugacities.

scholarly journals A form factor approach to the asymptotic behavior of correlation functions in critical models

2011 ◽  
Vol 2011 (12) ◽  
pp. P12010 ◽  
Author(s):  
N Kitanine ◽  
K K Kozlowski ◽  
J M Maillet ◽  
N A Slavnov ◽  
V Terras
Keyword(s):  
Asymptotic Behavior ◽  
Form Factor ◽  
Correlation Functions

scholarly journals Exact asymptotic behavior of correlation functions for disordered spin-1/2 XXZ chains

2012 ◽  
Vol 864 (2) ◽  
pp. 317-327 ◽  
Author(s):  
Zoran Ristivojevic ◽  
Aleksandra Petković ◽  
Thierry Giamarchi
Keyword(s):  
Asymptotic Behavior ◽  
Correlation Functions ◽  
Exact Asymptotic Behavior
Sign in / Sign up

Export Citation Format

Share Document