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The mechanism by which gauge and gravitational anomalies cancel in certain string theories is reviewed. The presentation is aimed at theorists who do not necessarily specialize in string theory.

High Energy Physics - Theory · Physics 2017-08-23 John H. Schwarz

In the Landau-gauge lattice gluodynamics we find that, both in the SU(2) and SU(3) theory, a correlation of the Polyakov loop with the asymmetry of the $A^2$ gluon condensate as well as with the longitudinal propagator makes it possible to…

High Energy Physics - Lattice · Physics 2022-02-16 V. G. Bornyakov , V. A. Goy , E. A. Kozlovsky , V. K. Mitrjushkin , R. N. Rogalyov

The pressure of QCD admits at high temperatures a factorization into purely perturbative contributions from "hard" thermal momenta, and slowly convergent as well as non-perturbative contributions from "soft" thermal momenta. The latter can…

High Energy Physics - Lattice · Physics 2009-05-29 F. Di Renzo , M. Laine , Y. Schroder , C. Torrero

We calculate in dimensions $D=2+\epsilon$ and in light-cone gauge (LCG) the perturbative ${\cal O}(g^4)$ contribution to a rectangular Wilson loop in the (t,x)-plane coming from diagrams with a self-energy correction in the vector…

High Energy Physics - Theory · Physics 2009-10-31 A. Bassetto , R. Begliuomini , G. Nardelli

String tension is introduced in perturbative QCD without hindering ultra violet renormalizability . The running gauge coupling constant remains unaltered and the string tension in the high energy limit vanishes asymptotically. Using 1/N…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ramesh Anishetty

I propose that the properties of QCD perturbation theory should be investigated when the boundary state (`perturbative vacuum') at $t= \pm\infty$ includes gluons. Any boundary state that has an overlap with the true QCD ground state…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Hoyer

We present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one loop level in lattice perturbation theory. Our calculations have been performed for Wilson/clover fermions and a…

High Energy Physics - Lattice · Physics 2018-04-18 M. Constantinou , H. Panagopoulos

The non-commutative version of the euclidean $g^2\phi^4$ theory is considered. By using Wilsonian flow equations the ultraviolet renormalizability can be proved to all orders in perturbation theory. On the other hand, the infrared sector…

High Energy Physics - Theory · Physics 2009-11-07 Luca Griguolo , Massimo Pietroni

The force densities exerted on a localised material system by linearised interaction with fields of axionic and dilatonic type are shown to be describable very generally by relatively simple expressions that are well behaved for fields of…

High Energy Physics - Theory · Physics 2011-04-15 Brandon Carter

We calculate Wilson loops of various sizes up to loop order $n=20$ for lattice sizes of $L^4 (L=4, 6, 8, 12)$ using the technique of Numerical Stochastic Perturbation Theory in quenched QCD. This allows to investigate the behaviour of the…

High Energy Physics - Lattice · Physics 2010-11-05 E. -M. Ilgenfritz , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

The modification of classical dynamics of abelian confining theory by virtue of quantum Abrikosov-Nielsen-Olesen strings is discussed taking D=4 abelian Higgs model as an example. The form of string corrections to the Wilson loop…

High Energy Physics - Theory · Physics 2007-05-23 V. I. Shevchenko

The magnetic sector of SU(N) Yang-Mills theory at finite temperature is studied. At low temperatures, T<2T_c, the analytic expressions for the temperature dependence of the magnetic correlator, of the magnetic gluon condensate and of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Nikita O. Agasian

We continue the study of the Wilson line representation of conformal blocks in two-dimensional conformal field theory; these have an alternative interpretation as gravitational Wilson lines in the context of the AdS$_3$/CFT$_2$…

High Energy Physics - Theory · Physics 2019-06-26 Mert Besken , Eric D'Hoker , Ashwin Hegde , Per Kraus

We discuss thermodynamic properties of open confining strings introduced via static sources in the vacuum of Yang-Mills theory. We derive new sum rules for the chromoelectric and chromomagnetic condensates and use them to show that the…

High Energy Physics - Phenomenology · Physics 2020-11-03 M. N. Chernodub

We discuss formulation of Wilson polygon - MHV amplitude duality at the perturbative level in various regularizations. For four gluons it is shown that at one loop one can formulate diagrammatic correspondence interpolating between the…

High Energy Physics - Theory · Physics 2014-11-20 A. Gorsky , A. Zhiboedov

We explore an ansatz for the QCD vacuum in the Coulomb gauge that describes gauge field fluctuations in presence of a weakly interacting gas of abelian monopoles. Such magnetic disorder leads to long-range correlations which are manifested…

High Energy Physics - Phenomenology · Physics 2010-05-28 Adam P. Szczepaniak , Hrayr H. Matevosyan

The generalization of 4D confining string theory to the SU(3)-inspired case is derived. It describes string representation of the Wilson loop in the SU(3)-analogue of compact QED extended by the $\theta$-term. It is shown that although the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Dmitri Antonov

It has been a fascinating topic in the study of boundary layer theory about the well-posedness of Prandtl equation that was derived in 1904. Recently, new ideas about cancellation to overcome the loss of tangential derivatives were obtained…

Analysis of PDEs · Mathematics 2022-01-26 Tong Yang

Apparently convergent contributions of resummed perturbative series at the next-to-leading order of the 1/N expansion in the O(N) model are reanalyzed in terms of renormalizability. Compared to our earlier article [G. Fejos et al., Phys.…

High Energy Physics - Phenomenology · Physics 2015-06-19 G. Fejos , A. Patkos , Zs. Szep

A systematic study of the properties of particle and charge correlation functions in the two-dimensional Coulomb gas confined to a one-dimensional domain is undertaken. Two versions of this system are considered: one in which the positive…

Condensed Matter · Physics 2009-10-28 A. Alastuey , P. J. Forrester