Two-dimensional Ising field theory in a magnetic field: Breakup of the cut in the two-point function

1978 ◽  
Vol 18 (4) ◽  
pp. 1259-1267 ◽  
Author(s):  
Barry M. McCoy ◽  
Tai Tsun Wu
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Two Dimensional ◽  
Point Function

scholarly journals Anomalies from correlation functions in defect conformal field theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Christopher P. Herzog ◽  
Itamar Shamir
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Effective Action ◽  
Three Dimensions ◽  
Two Dimensional ◽  
Point Function ◽  
Perfect Agreement ◽  
Conformal Field ◽  
Density Anomaly ◽  
The One

Abstract In previous work, we showed that an anomaly in the one point function of marginal operators is related by the Wess-Zumino condition to the Euler density anomaly on a two dimensional defect or boundary. Here we analyze in detail the two point functions of marginal operators with the stress tensor and with the displacement operator in three dimensions. We show how to get the boundary anomaly from these bulk two point functions and find perfect agreement with our anomaly effective action. For a higher dimensional conformal field theory with a four dimensional defect, we describe for the first time the anomaly effective action that relates the Euler density term to the one point function anomaly, generalizing our result for two dimensional defects.

Anomalies in finite amplitudes: Two-dimensional single and triple axial-vector triangles

2018 ◽  
Vol 33 (23) ◽  
pp. 1850136
Author(s):  
O. A. Battistel ◽  
F. Traboussy ◽  
G. Dallabona
Keyword(s):  
Field Theory ◽  
Axial Vector ◽  
Space Time ◽  
Point Of View ◽  
Quantum Field ◽  
Two Dimensional ◽  
Point Function ◽  
Four Dimensions ◽  
Clear Point ◽  
A Chain

An explicit and detailed investigation about the two-dimensional (2D) single and triple axial-vector triangles is presented. Such amplitudes are related to the 2D axial-vector two-point function (AV) through contractions with the external momenta. Given this fact, before considering the triangles, we give a clear point of view for the AV anomalous amplitude. Such point of view is constructed within the context of an alternative strategy to handle the divergences typical of the perturbative solutions of quantum field theory. In the referred procedure all amplitudes in all theories, formulated in odd and even space–time dimensions, renormalizable or not, are treated on the same footing. After performing, in a very detailed way, all the calculations, we conclude that the same phenomenon occurring in the AV amplitude is present also in the finite single and triple axial-vector triangles. The conclusion gives support to the thesis that the phenomenon is present in pseudo-amplitudes belonging to a chain where the divergent AV one is only the simplest structure. It is expected that the same must occur in all even space–time dimensions. In particular, in four dimensions, the single and triple axial box amplitudes must exhibit anomalies too.

Two-dimensional Ising field theory forT

1978 ◽  
Vol 18 (4) ◽  
pp. 1243-1252 ◽  
Author(s):  
Barry M. McCoy ◽  
Tai Tsun Wu
Keyword(s):  
Field Theory ◽  
Two Dimensional ◽  
Point Function ◽  
String Structure

scholarly journals Four-point correlation modular bootstrap for OPE densities

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Carlos Cardona ◽  
Cynthia Keeler ◽  
William Munizzi
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Spectral Decomposition ◽  
Large Dimension ◽  
Two Dimensional ◽  
Point Function ◽  
Conformal Field ◽  
Virasoro Symmetry ◽  
Point Correlation ◽  
Conserved Currents

Abstract In this work we apply the lightcone bootstrap to a four-point function of scalars in two-dimensional conformal field theory. We include the entire Virasoro symmetry and consider non-rational theories with a gap in the spectrum from the vacuum and no conserved currents. For those theories, we compute the large dimension limit (h/c ≫ 1) of the OPE spectral decomposition of the Virasoro vacuum. We then propose a kernel ansatz that generalizes the spectral decomposition beyond h/c ≫ 1. Finally, we estimate the corrections to the OPE spectral densities from the inclusion of the lightest operator in the spectrum.

NON-ABELIAN FLUX TUBE INSTABILITY

1993 ◽  
Vol 08 (26) ◽  
pp. 4745-4754
Author(s):  
E.I. GUENDELMAN ◽  
D.A. OWEN ◽  
A. LEONIDOV
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Critical Value ◽  
Two Dimensional ◽  
Field Boundary ◽  
Flux Tubes ◽  
One Dimensional ◽  
Abelian Field ◽  
Chromomagnetic Field ◽  
Electric Flux

We investigate the effect of external field boundary conditions of a background chromomagnetic field on the instability (discovered by Nielsen and Olesen) for the vacuum of a non-Abelian field theory. We find that the vacuum is neither stabilized by a one-dimensional nor a two-dimensional cutoff of this magnetic field. However, the vacuum in the presence of flux tubes whose length is restricted to be under a critical value, L0, is stable. Therefore, there is a tendency for flux tubes of lengths greater than L0 to spontaneously fragment into segments each of which is smaller than L0. This corresponds to a dual picture which allows stable electric flux tubes.

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