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We present a remarkable connection between the asymptotic behavior of the Riemann zeros and one-loop effective action in Euclidean scalar field theory. We show that in a two-dimensional space, the asymptotic behavior of the Fourier…

Mathematical Physics · Physics 2015-06-19 J. G. Dueñas , N. F. Svaiter , G. Menezes

The classical analysis of Kazakov and Kostov of the Makeenko-Migdal loop equation in two-dimensional gauge theory leads to usual partial differential equations with respect to the areas of windows formed by the loop. We extend this…

High Energy Physics - Theory · Physics 2009-11-10 Harald Dorn , Alessandro Torrielli

Non-relativistic charged particles and strings coupled with abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. We consider three models: the string in self-interaction through a…

High Energy Physics - Theory · Physics 2009-11-10 P. J. Arias , E. Fuenmayor , Lorenzo Leal

We use a variational wave function to calculate the energy of the interaction between external charges in the compact Abelian gauge theory in 2+1 dimensions with mixed action. Our variational wave functions preserve the compact gauge…

High Energy Physics - Lattice · Physics 2009-10-31 Alex Kovner , Benjamin Svetitsky

We develop quantum corrections to the Wilson line-based action which we recently derived through a transformation that eliminates triple gluon vertices from the Yang-Mills action on the light-cone. The action efficiently computes high…

High Energy Physics - Theory · Physics 2024-06-21 Hiren Kakkad , Piotr Kotko , Anna Stasto

We study the correlator of two parallel Wilson lines in two-dimensional noncommutative Yang-Mills theory, following two different approaches. We first consider a perturbative expansion in the large-N limit and resum all planar diagrams. The…

High Energy Physics - Theory · Physics 2009-11-07 A. Bassetto , F. Vian

We develop a theoretical description of Coulomb interactions between trions (charged excitons) that define a nonlinear optical response in doped two-dimensional semiconductors. First, we formulate a microscopic theory of trion-trion…

Mesoscale and Nanoscale Physics · Physics 2022-07-07 Kok Wee Song , Salvatore Chiavazzo , Ivan A. Shelykh , Oleksandr Kyriienko

We consider nonlinear effective actions for a spin-2 field, whose `decoupling' limit gives Fierz-Pauli action in D dimensional maximally symmetric spacetime. We find, especially, the effective action for a partially massless field can take…

High Energy Physics - Theory · Physics 2023-04-06 Nahomi Kan , Takuma Aoyama , Kiyoshi Shiraishi

We investigate the soft behavior of QCD amplitudes involving multiple Wilson lines and derive compact analytic expressions for double soft gluon and double soft quark emissions at one loop. The color correlations of the soft current exhibit…

High Energy Physics - Phenomenology · Physics 2025-10-29 Yu Jiao Zhu

We propose an external field approach to evaluating effective action allowing the interaction to act everywhere at all times (everlasting). Requiring that the asymptotic gauge fields are always-interacting, we implement displacement fields…

High Energy Physics - Phenomenology · Physics 2024-08-27 Stefan Evans , Johann Rafelski

We demonstrate that a non-vanishing interaction force exists between pairs of induced dipoles in random, statistically stationary electromagnetic field. This new type of optical binding force leads to long-range interaction between dipolar…

Optics · Physics 2015-06-15 Sergey Sukhov , Kyle M. Douglass , Aristide Dogariu

We derive the two loop expressions for polygonal Wilson loops by starting from the one loop expressions and applying an operator product expansion. We do this for polygonal Wilson loops in R^{1,1} and find a result in agreement with…

High Energy Physics - Theory · Physics 2015-03-17 Davide Gaiotto , Juan Maldacena , Amit Sever , Pedro Vieira

We study a $U(N)$-invariant vector+matrix chain with the color structure of a lattice gauge theory with quarks and interpret it as a theory of open andclosed strings with target space $\Z$. The string field theory is constructed as a…

High Energy Physics - Theory · Physics 2014-11-18 Ivan K. Kostov

We introduce dressed Wilson loops as a novel confinement observable. It consists of closed planar loops of arbitrary geometry but fixed area and its expectation values decay with the latter. The construction of dressed Wilson loops is based…

High Energy Physics - Lattice · Physics 2011-11-23 Falk Bruckmann , Gergely Endrodi

We find marginal and scalar solutions in cubic open string field theory by using left-right splitting properties of a delta function. The marginal solution represents a marginal deformation generated by a U(1) current, and it is a…

High Energy Physics - Theory · Physics 2009-11-07 Tomohiko Takahashi , Seriko Tanimoto

We integrate the notion of an effective field theory, as described by Costello, with the framework of noncommutative symplectic geometry introduced by Kontsevich; providing a definition for the renormalization group flow in noncommutative…

Quantum Algebra · Mathematics 2025-05-21 Alastair Hamilton

A rectangular Wilson loop with sides parallel to space and time directions is perturbatively evaluated in two light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions, with ``instantaneous'' and ``causal'' interactions between…

High Energy Physics - Theory · Physics 2008-02-03 A. Bassetto , D. Colferai , G. Nardelli

We employ the effective field theory method to systematically study the short-range interaction in two-body sector in 2, 3 and 4 spacetime dimensions, respectively. The phi**4 theory is taken as a specific example and matched onto the…

High Energy Physics - Theory · Physics 2007-05-23 Yu Jia

Wilson lines in N=4SYM can be computed in terms of branes carrying electric flux, i.e. F-strings dissolved in their worldvolumes. It is then natural to think that those configurations are the effective description of strings expanding due…

High Energy Physics - Theory · Physics 2008-11-26 Diego Rodriguez-Gomez

We study the scattering of small color dipoles (e.g., heavy quarkonium states) at low energies. We find that even though the couplings of color dipoles to the gluon field can be described in perturbation theory, at large distances the…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Fujii , D. Kharzeev
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