scholarly journals Quantum phases of Yang-Mills matrix model coupled to fundamental fermions

2017 ◽  
Vol 58 (2) ◽  
pp. 022103 ◽  
Author(s):  
Mahul Pandey ◽  
Sachindeo Vaidya
Keyword(s):  
Matrix Model ◽  
Quantum Phases ◽  
Yang Mills

Yang–Mills matrix mechanics and quantum phases

2017 ◽  
Vol 14 (08) ◽  
pp. 1740009
Author(s):  
Mahul Pandey ◽  
Sachindeo Vaidya
Keyword(s):  
Gauge Field ◽  
Matrix Model ◽  
Quantum Physics ◽  
International Workshop ◽  
Scalar Potential ◽  
Field Configuration ◽  
Dirac Fermion ◽  
Quantum Phases ◽  
Yang Mills ◽  
Matrix Mechanics

The [Formula: see text] Yang–Mills matrix model coupled to fundamental fermions is studied in the adiabatic limit, and quantum critical behavior is seen at special corners of the gauge field configuration space. The quantum scalar potential for the gauge field induced by the fermions diverges at the corners, and is intimately related to points of enhanced degeneracy of the fermionic Hamiltonian. This in turn leads to superselection sectors in the Hilbert space of the gauge field, the ground states in different sectors being orthogonal to each other. The [Formula: see text] Yang–Mills matrix model coupled to two Weyl fermions has three quantum phases. When coupled to a massless Dirac fermion, the number of quantum phases is four. One of these phases is the color-spin locked phase. This paper is an extended version of the lectures given by the second author (SV) at the International Workshop on Quantum Physics: Foundations and Applications, Bangalore, in February 2016, and is based on [1].

scholarly journals Exact 1/N expansion of Wilson loop correlators in $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Wolfgang Mück
Keyword(s):  
Matrix Model ◽  
Wilson Loop ◽  
Model Solution ◽  
Wilson Loops ◽  
Combinatorial Formula ◽  
Expectation Value ◽  
Yang Mills ◽  
Hooft Coupling ◽  
The Matrix ◽  
Super Yang Mills Theory

Abstract Supersymmetric circular Wilson loops in $$ \mathcal{N} $$ N = 4 Super-Yang-Mills theory are discussed starting from their Gaussian matrix model representations. Previous results on the generating functions of Wilson loops are reviewed and extended to the more general case of two different loop contours, which is needed to discuss coincident loops with opposite orientations. A combinatorial formula representing the connected correlators of multiply wound Wilson loops in terms of the matrix model solution is derived. Two new results are obtained on the expectation value of the circular Wilson loop, the expansion of which into a series in 1/N and to all orders in the ’t Hooft coupling λ was derived by Drukker and Gross about twenty years ago. The connected correlators of two multiply wound Wilson loops with arbitrary winding numbers are calculated as a series in 1/N. The coefficient functions are derived not only as power series in λ, but also to all orders in λ by expressing them in terms of the coefficients of the Drukker and Gross series. This provides an efficient way to calculate the 1/N series, which can probably be generalized to higher-point correlators.

scholarly journals On topological recursion for Wilson loops in $$ \mathcal{N} $$ = 4 SYM at strong coupling

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
M. Beccaria ◽  
A. Hasan
Keyword(s):  
Strong Coupling ◽  
Matrix Model ◽  
Wilson Loops ◽  
Expectation Value ◽  
Yang Mills ◽  
Usual Procedure ◽  
Topological Recursion ◽  
Sample Application ◽  
Single Trace ◽  
Genus Expansion

Abstract We consider U(N) $$ \mathcal{N} $$ N = 4 super Yang-Mills theory and discuss how to extract the strong coupling limit of non-planar corrections to observables involving the $$ \frac{1}{2} $$ 1 2 -BPS Wilson loop. Our approach is based on a suitable saddle point treatment of the Eynard-Orantin topological recursion in the Gaussian matrix model. Working directly at strong coupling we avoid the usual procedure of first computing observables at finite planar coupling λ, order by order in 1/N, and then taking the λ ≫ 1 limit. In the proposed approach, matrix model multi-point resolvents take a simplified form and some structures of the genus expansion, hardly visible at low order, may be identified and rigorously proved. As a sample application, we consider the expectation value of multiple coincident circular supersymmetric Wilson loops as well as their correlator with single trace chiral operators. For these quantities we provide novel results about the structure of their genus expansion at large tension, generalising recent results in arXiv:2011.02885.

scholarly journals Thermal phase transition in Yang-Mills matrix model

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Georg Bergner ◽  
Norbert Bodendorfer ◽  
Masanori Hanada ◽  
Enrico Rinaldi ◽  
Andreas Schäfer ◽  
...  
Keyword(s):  
Phase Transition ◽  
Matrix Model ◽  
Yang Mills ◽  
Thermal Phase Transition ◽  
Thermal Phase

scholarly journals Non-commutative Yang–Mills in IIB matrix model

2000 ◽  
Vol 565 (1-2) ◽  
pp. 176-192 ◽  
Author(s):  
Hajime Aoki ◽  
Nobuyuki Ishibashi ◽  
Satoshi Iso ◽  
Hikaru Kawai ◽  
Yoshihisa Kitazawa ◽  
...  
Keyword(s):  
Matrix Model ◽  
Yang Mills

scholarly journals THE HAGEDORN TRANSITION AND THE MATRIX MODEL FOR STRINGS

1998 ◽  
Vol 13 (26) ◽  
pp. 2085-2094 ◽  
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Matrix Model ◽  
Light Cone ◽  
Degrees Of Freedom ◽  
Low Energy ◽  
Matrix Formalism ◽  
Yang Mills ◽  
Large N ◽  
The Matrix ◽  
The Continuum ◽  
String Worldsheet

We use the matrix formalism to investigate what happens to strings above the Hagedorn temperature. We show that is not a limiting temperature but a temperature at which the continuum string picture breaks down. We study a collection of N D-0-branes arranged to form a string having N units of light-cone momentum. We find that at high temperatures the favored phase is one where the string worldsheet has disappeared and the low-energy degrees of freedom consists of N2 massless particles ("gluons"). The nature of the transition is very similar to the deconfinement transition in large-N Yang–Mills theories.

scholarly journals N=4super Yang-Mills theory from the plane wave matrix model

2008 ◽  
Vol 78 (10) ◽  
Author(s):  
Takaaki Ishii ◽  
Goro Ishiki ◽  
Shinji Shimasaki ◽  
Asato Tsuchiya
Keyword(s):  
Plane Wave ◽  
Matrix Model ◽  
Yang Mills

scholarly journals On matrix model formulations of noncommutative Yang-Mills theories

2008 ◽  
Vol 78 (10) ◽  
Author(s):  
Tatsuo Azeyanagi ◽  
Masanori Hanada ◽  
Tomoyoshi Hirata
Keyword(s):  
Matrix Model ◽  
Yang Mills
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