scholarly journals Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang–Mills Theory: TBA and excited states

2010 ◽  
Vol 91 (3) ◽  
pp. 265-287 ◽  
Author(s):  
Nikolay Gromov ◽  
Vladimir Kazakov ◽  
Andrii Kozak ◽  
Pedro Vieira
Keyword(s):  
Excited States ◽  
Yang Mills ◽  
Anomalous Dimensions

scholarly journals One-loop non-planar anomalous dimensions in super Yang-Mills theory

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Tristan McLoughlin ◽  
Raul Pereira ◽  
Anne Spiering
Keyword(s):  
Perturbation Theory ◽  
Integrable Systems ◽  
Chaotic Systems ◽  
Quantum Mechanical ◽  
Matrix Elements ◽  
Mechanical Perturbation ◽  
Yang Mills ◽  
Anomalous Dimensions ◽  
Dilatation Operator ◽  
Scalar Products

Abstract We consider non-planar one-loop anomalous dimensions in maximally supersymmetric Yang-Mills theory and its marginally deformed analogues. Using the basis of Bethe states, we compute matrix elements of the dilatation operator and find compact expressions in terms of off-shell scalar products and hexagon-like functions. We then use non-degenerate quantum-mechanical perturbation theory to compute the leading 1/N2 corrections to operator dimensions and as an example compute the large R-charge limit for two-excitation states through subleading order in the R-charge. Finally, we numerically study the distribution of level spacings for these theories and show that they transition from the Poisson distribution for integrable systems at infinite N to the GOE Wigner-Dyson distribution for quantum chaotic systems at finite N.

SPECTRUM OF SCREENING MASSES FOR SU(2) GAUGE THEORY: UNIVERSALITY CLASS

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1725-1729
Author(s):  
R. S. COSTA ◽  
S. B. DUARTE ◽  
M. CHIAPPARINI ◽  
T. MENDES
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Gauge Theory ◽  
Critical Temperature ◽  
Variational Method ◽  
Excited States ◽  
Universality Class ◽  
Yang Mills ◽  
Exponential Method ◽  
Deconfinement Phase Transition

In this work we study the spectrum of the lowest screening masses for Yang–Mills theories on the lattice. We used the SU(2) gauge group in (3 + 1) dmensions. We adopted the multiple exponential method and the so-called "variational" method, in order to detect possible excited states. The calculations were done near the critical temperature of the confinement-deconfinement phase transition. We obtained values for the ratios of the screening masses consistent with predictions from universality arguments. A Monte Carlo evolution of the screening masses in the gauge theory confirms the validity of the predictions.

Beta functions in Chirally deformed supersymmetric sigma models in two dimensions

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645040
Author(s):  
Arkady Vainshtein
Keyword(s):  
Sigma Models ◽  
Two Dimensions ◽  
Two Dimensional ◽  
World Sheet ◽  
Yang Mills ◽  
Anomalous Dimensions ◽  
Straightforward Method ◽  
The World ◽  
Original Formula

We study two-dimensional sigma models where the chiral deformation diminished the original [Formula: see text] supersymmetry to the chiral one, [Formula: see text]. Such heterotic models were discovered previously on the world sheet of non-Abelian stringy solitons supported by certain four-dimensional [Formula: see text] theories. We study geometric aspects and holomorphic properties of these models, and derive a number of exact expressions for the [Formula: see text] functions in terms of the anomalous dimensions analogous to the NSVZ [Formula: see text] function in four-dimensional Yang-Mills. Instanton calculus provides a straightforward method for the derivation.

scholarly journals Fine structure of anomalous dimensions inN=4super-Yang–Mills theory

2009 ◽  
Vol 809 (1-2) ◽  
pp. 244-278 ◽  
Author(s):  
A.V. Belitsky ◽  
G.P. Korchemsky ◽  
R.S. Pasechnik
Keyword(s):  
Fine Structure ◽  
Yang Mills ◽  
Anomalous Dimensions

scholarly journals Spectrum of scalar and pseudoscalar glueballs from functional methods

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Markus Q. Huber ◽  
Christian S. Fischer ◽  
Hèlios Sanchis-Alepuz
Keyword(s):  
Excited States ◽  
Ground State ◽  
Quantitative Agreement ◽  
Ghost Propagator ◽  
Yang Mills ◽  
Functional Methods ◽  
Specific Choice ◽  
The Masses ◽  
Self Consistency

AbstractWe provide results for the spectrum of scalar and pseudoscalar glueballs in pure Yang–Mills theory using a parameter-free fully self-contained truncation of Dyson–Schwinger and Bethe–Salpeter equations. The only input, the scale, is fixed by comparison with lattice calculations. We obtain ground state masses of $$1.9\,\text {GeV}$$ 1.9 GeV and $$2.6\,\text {GeV}$$ 2.6 GeV for the scalar and pseudoscalar glueballs, respectively, and $$2.6\,\text {GeV}$$ 2.6 GeV and $$3.9\,\text {GeV}$$ 3.9 GeV for the corresponding first excited states. This is in very good quantitative agreement with available lattice results. Furthermore, we predict masses for the second excited states at $$3.7\,\text {GeV}$$ 3.7 GeV and $$4.3\,\text {GeV}$$ 4.3 GeV . The quality of the results hinges crucially on the self-consistency of the employed input. The masses are independent of a specific choice for the infrared behavior of the ghost propagator providing further evidence that this only reflects a nonperturbative gauge completion.

scholarly journals Exact Spectrum of Anomalous Dimensions of PlanarN=4Supersymmetric Yang-Mills Theory

2009 ◽  
Vol 103 (13) ◽  
Author(s):  
Nikolay Gromov ◽  
Vladimir Kazakov ◽  
Pedro Vieira
Keyword(s):  
Yang Mills ◽  
Anomalous Dimensions

Anomalous dimensions of Wilson operators in the $$\mathcal{N} = 4$$ supersymmetric Yang-Mills theory

2007 ◽  
Vol 150 (2) ◽  
pp. 213-224
Author(s):  
A. V. Kotikov ◽  
L. N. Lipatov ◽  
A. I. Onishchenko ◽  
V. N. Velizhanin
Keyword(s):  
Yang Mills ◽  
Anomalous Dimensions

scholarly journals Emergent Yang-Mills theory

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Robert de Mello Koch ◽  
Jia-Hui Huang ◽  
Minkyoo Kim ◽  
Hendrik J.R. Van Zyl
Keyword(s):  
Lattice Model ◽  
Quenched Disorder ◽  
Schur Polynomials ◽  
Yang Mills ◽  
Anomalous Dimensions ◽  
World Volume ◽  
Planar Limit ◽  
Integrable Spin ◽  
Mixing Problem ◽  
Giant Graviton

Abstract We study the spectrum of anomalous dimensions of operators dual to giant graviton branes. The operators considered belong to the su(2|3) sector of $$ \mathcal{N} $$ N = 4 super Yang-Mills theory, have a bare dimension ∼ N and are a linear combination of restricted Schur polynomials with p ∼ O(1) long rows or columns. In the same way that the operator mixing problem in the planar limit can be mapped to an integrable spin chain, we find that our problems maps to particles hopping on a lattice. The detailed form of the model is in precise agreement with the expected world volume dynamics of p giant graviton branes, which is a U(p) Yang-Mills theory. The lattice model we find has a number of noteworthy features. It is a lattice model with all-to-all sites interactions and quenched disorder.

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