scholarly journals Analytic structure of the lattice Landau gauge gluon and ghost propagators

2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Alexandre F. Falcão ◽  
Orlando Oliveira ◽  
Paulo J. Silva
2012 ◽  
Vol 109 (25) ◽  
Author(s):  
Stefan Strauss ◽  
Christian S. Fischer ◽  
Christian Kellermann

2012 ◽  
Vol 67 (2) ◽  
pp. 239-244 ◽  
Author(s):  
Stefan Strauss ◽  
Christian S. Fischer ◽  
Christian Kellermann

2005 ◽  
Vol 141 ◽  
pp. 122-127 ◽  
Author(s):  
R. Alkofer ◽  
W. Detmold ◽  
C.S. Fischer ◽  
P. Maris

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
J.M. Drummond ◽  
H. Paul

Abstract We consider α′ corrections to the one-loop four-point correlator of the stress- tensor multiplets in $$ \mathcal{N} $$ N = 4 super Yang-Mills at order 1/N4. Holographically, this is dual to string corrections of the one-loop supergravity amplitude on AdS5 × S5. While this correlator has been considered in Mellin space before, we derive the corresponding position space results, gaining new insights into the analytic structure of AdS loop amplitudes. Most notably, the presence of a transcendental weight three function involving new singularities is required, which has not appeared in the context of AdS amplitudes before. We thereby confirm the structure of string corrected one-loop Mellin amplitudes, and also provide new explicit results at orders in α′ not considered before.


2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Hannes Malcha ◽  
Hermann Nicolai

Abstract Supersymmetric Yang-Mills theories can be characterized by a non-local and non-linear transformation of the bosonic fields (Nicolai map) mapping the interacting functional measure to that of a free theory, such that the Jacobi determinant of the transformation equals the product of the fermionic determinants obtained by integrating out the gauginos and ghosts at least on the gauge hypersurface. While this transformation has been known so far only for the Landau gauge and to third order in the Yang-Mills coupling, we here extend the construction to a large class of (possibly non-linear and non-local) gauges, and exhibit the conditions for all statements to remain valid off the gauge hypersurface. Finally, we present explicit results to second order in the axial gauge and to fourth order in the Landau gauge.


1995 ◽  
Vol 73 (5-6) ◽  
pp. 344-348 ◽  
Author(s):  
Yeong-Chuan Kao ◽  
Hsiang-Nan Li

We show that the two-loop contribution to the coefficient of the Chern–Simons term in the effective action of the Yang–Mills–Chern–Simons theory is infrared finite in the background field Landau gauge. We also discuss the difficulties in verifying the conjecture, due to topological considerations, that there are no more quantum corrections to the Chern–Simons term other than the well-known one-loop shift of the coefficient.


2021 ◽  
pp. 147035722098482
Author(s):  
Crispin Thurlow

The analytic focus of this article is the highly fashionable ‘infinity pool’, treated here as a visual-material realization of the cultural politics of super-elite mobility. The article is organized around a three-step analytic structure. First, I demonstrate how the infinity pool is mediatized as a status marker, and thus circulated and normalized. Second, I pinpoint the semiotic and ideological ways the infinity pool emerges as a mediated practice. Third, I examines how the infinity pool is also remediated on Instagram and thereby broadcast anew. Throughout, I evidence my analysis with visual texts drawn from a range of commercial, situated and digital media sources. My primary objective is to show how the infinity pool, as a mediatized, mediated and remediated practice, feeds the global semioscape, that more informal, often banal plane of cultural circulation where images, ideas and aesthetic ideals seed themselves all over the place. In this way, and however frivolous or innocuous infinity pools may seem, they also spread a particularly privileged way of looking at, and being in, the world.


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