scholarly journals Gauge copies and the fate of background independence in Yang-Mills theories: A leading order analysis

2020 ◽  
Vol 102 (7) ◽  
Author(s):  
O. C. Junqueira ◽  
I. F. Justo ◽  
D. S. Montes ◽  
A. D. Pereira ◽  
R. F. Sobreiro
Keyword(s):  
Leading Order ◽  
Yang Mills ◽  
Background Independence ◽  
Order Analysis

The physics of meron pairs. I. Introduction, motivation, and formalism

1980 ◽  
Vol 58 (6) ◽  
pp. 845-858 ◽  
Author(s):  
David G. Laughton
Keyword(s):  
Saddle Point ◽  
Path Integral ◽  
Path Integrals ◽  
Field Configuration ◽  
Degree Of Freedom ◽  
Leading Order ◽  
Local Minima ◽  
Yang Mills ◽  
Ordinary Integral

The physics of meron pairs is considered in this series of papers. The first paper presents the motivation for focussing on this particular type of field configuration as an important degree of freedom in the SU(N) Yang–Mills theory. It also outlines the formalism for doing a saddle point expansion of path integrals about configurations which are constrained minima of the action (such as meron pairs) as opposed to local minima (such as instantons). The formalism is illustrated by the treatment of an ordinary integral which is analogous to the meron pair region of the Yang–Mills path integral. It is found that the expansion about constrained minima depends to leading order on the constraints chosen to partition the integral. This means that some criteria must be found for the choice of constraints. This problem is discussed. The actual meron pair calculations are partially described here and done in the second and third papers. Applications are to be considered in any subsequent papers.

scholarly journals Holographic baryons and instanton crystals

2015 ◽  
Vol 29 (16) ◽  
pp. 1540052 ◽  
Author(s):  
Vadim Kaplunovsky ◽  
Dmitry Melnikov ◽  
Jacob Sonnenschein
Keyword(s):  
Gauge Fields ◽  
Leading Order ◽  
Abelian Gauge ◽  
Yang Mills ◽  
World Volume ◽  
Dense Nuclear Matter ◽  
The World ◽  
The One ◽  
Holographic Description ◽  
Matter Phase

In a wide class of holographic models, like the one proposed by Sakai and Sugimoto, baryons can be approximated by instantons of non-Abelian gauge fields that live on the world-volume of flavor D-branes. In the leading order, those are just the Yang–Mills instantons, whose solutions can be constructed from the celebrated Atiyah–Drinfeld–Hitchin–Manin (ADHM) construction. This fact can be used to study various properties of baryons in the holographic limit. In particular, one can attempt to construct a holographic description of the cold dense nuclear matter phase of baryons. It can be argued that holographic baryons in such a regime are necessarily in a solid crystalline phase. In this review, we summarize the known results on the construction and phases of crystals of the holographic baryons.

scholarly journals Next to leading order analysis of DVCS and TCS

2014 ◽  
Vol 66 ◽  
pp. 06016 ◽  
Author(s):  
J. Wagner ◽  
H. Moutarde ◽  
B. Pire ◽  
F. Sabatié ◽  
L. Szymanowski
Keyword(s):  
Leading Order ◽  
Order Analysis

scholarly journals Integrability in Yang-Mills Theory on the Light Cone Beyond Leading Order

2005 ◽  
Vol 94 (15) ◽  
Author(s):  
A. V. Belitsky ◽  
G. P. Korchemsky ◽  
D. Müller
Keyword(s):  
Light Cone ◽  
Leading Order ◽  
Yang Mills
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