scholarly journals All order I.R. finite expansion for short distance behavior of massless theories perturbed by a relevant operator

1996 ◽  
Vol 471 (1-2) ◽  
pp. 361-385 ◽  
Author(s):  
Riccardo Guida ◽  
Nicodemo Magnoli
Keyword(s):  
Short Distance ◽  
Distance Behavior ◽  
Relevant Operator

scholarly journals SHORT DISTANCE PROPERTIES FROM LARGE DISTANCE BEHAVIOR

1998 ◽  
Vol 13 (23) ◽  
pp. 4101-4122 ◽  
Author(s):  
PAUL MANSFIELD ◽  
MARCOS SAMPAIO ◽  
JIANNIS PACHOS
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scalar Field ◽  
Large Distance ◽  
Short Distance ◽  
Quantum Field ◽  
Scalar Field Theory ◽  
Expansion Coefficients ◽  
Distance Behavior ◽  
Distance Properties

For slowly varying fields the vacuum functional of a quantum field theory may be expanded in terms of local functionals. This expansion satisfies its own form of the Schrödinger equation from which the expansion coefficients can be found. For scalar field theory in 1+1 dimensions we show that this approach correctly reproduces the short-distance properties as contained in the counterterms. We also describe an approximate simplification that occurs for the sine–Gordon and sinh–Gordon vacuum functionals.

Short-distance behavior of the energy density near surfaces of critical systems

1996 ◽  
Vol 53 (21) ◽  
pp. 14377-14398 ◽  
Author(s):  
E. Eisenriegler ◽  
M. Krech ◽  
S. Dietrich
Keyword(s):  
Energy Density ◽  
Short Distance ◽  
Critical Systems ◽  
Distance Behavior

scholarly journals Long and short distance behavior of the imaginary part of the heavy-quark potential

2022 ◽  
Vol 258 ◽  
pp. 04008
Author(s):  
Kirill Boguslavski ◽  
Babak Kasmaei ◽  
Michael Strickland
Keyword(s):  
Heavy Quark ◽  
Imaginary Part ◽  
Short Distance ◽  
Bound States ◽  
Yang Mills ◽  
Temporal Decay ◽  
Wide Range ◽  
Quark Potential ◽  
Heavy Quark Potential ◽  
Distance Behavior

The imaginary part of the effective heavy-quark potential can be related to the total in-medium decay width of of heavy quark-antiquark bound states. We extract the static limit of this quantity using classical-statistical simulations of the real-time Yang-Mills dynamics by measuring the temporal decay of Wilson loops. By performing the simulations on finer and larger lattices we are able to show that the nonperturbative results follow the same form as the perturbative ones. For large quark-antiquark separations, we quantify the magnitude of the non-perturbative long-range corrections to the imaginary part of the heavy-quark potential. We present our results for a wide range of temperatures, lattice spacings, and lattice volumes. We also extract approximations for the short-distance behavior of the classical potential.

ON THE SHORT DISTANCE BEHAVIOR OF STRING THEORIES

1991 ◽  
Vol 06 (16) ◽  
pp. 1487-1503 ◽  
Author(s):  
R. GUIDA ◽  
K. KONISHI ◽  
P. PROVERO
Keyword(s):  
String Theory ◽  
Path Integral ◽  
Short Distance ◽  
Uncertainty Relation ◽  
Path Integral Formulation ◽  
Physical Length ◽  
Generalized Uncertainty Relation ◽  
Distance Behavior ◽  
Qualitative Picture ◽  
String Theories

Short distance behavior of string theories is investigated by the use of the discretized path-integral formulation. In particular, the minimum physical length and the generalized uncertainty relation are re-derived from a set of Ward–Takahashi identities. Several issues related to the form of the generalized uncertainty relation and to its implications are discussed. A consistent qualitative picture of short distance behavior of string theory seems to emerge from such a study.

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