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Interpreting the coordinates of the quantum Euclidean space R_q^4 [the SO_q(4)-covariant noncommutative space] as the entries of a ``q-quaternion matrix'' we construct (anti)instanton solutions of a would-be q-deformed su(2) Yang-Mills…

High Energy Physics - Theory · Physics 2010-10-27 Gaetano Fiore

In this paper, we study instanton corrections in the N=2* gauge theory by using its description in string theory as a freely-acting orbifold. The latter is used to compute, using the worldsheet, the deformation of the Yang-Mills action. In…

High Energy Physics - Theory · Physics 2017-06-07 Micha Moskovic , Ahmad Zein Assi

In this note we consider examples of decomposition (in which a local QFT is equivalent to a disjoint union of multiple independent theories, known as universes) where there is a continuous familiy of universes, rather than a finite or…

High Energy Physics - Theory · Physics 2026-05-21 Alonso Perez-Lona , Eric Sharpe , Xingyang Yu , Hao Zhang

We consider the $SU(N)$ Yang-Mills theory, whose topological sectors are restricted to the instanton number with integer multiples of $p$. We can formulate such a quantum field theory maintaining locality and unitarity, and the model…

High Energy Physics - Theory · Physics 2020-03-25 Yuya Tanizaki , Mithat Ünsal

We study the massive Schwinger model, quantum electrodynamics of massive, Dirac fermions, in 1+1 dimensions; with space compactified to a circle. In the limit that transitions to fermion--anti-fermion pairs can be neglected, we study the…

High Energy Physics - Theory · Physics 2009-10-22 M. B. Paranjape , Robin Ross

Numerical and anaytical studies of the instanton liquid model have allowed the determination of many hadronic parameters during the last 13 years. Most part of this thesis is devoted to the extension of the analytical methods. The meson…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcus Hutter

We report results obtained for SU(2) Yang-Mills theory on a four dimensional torus with two directions much smaller than the other two. The small 2-torus is equipped with twisted boundary conditions. This construction provides a way to…

High Energy Physics - Lattice · Physics 2025-02-14 Georg Bergner , Antonio González-Arroyo , Ivan Soler

The quantum symmetry of many \LG\ orbifolds appears to be broken by Yang-Mills instantons. However, isolated Yang-Mills instantons are not solutions of string theory: They must be accompanied by gauge anti-instantons, gravitational…

High Energy Physics - Theory · Physics 2009-10-07 Jacques Distler , Shamit Kachru

We consider Lie G-valued Yang-Mills fields on the space R x G/H, where G/H is a compact nearly K"ahler six-dimensional homogeneous space, and the manifold R x G/H carries a G_2-structure. After imposing a general G-invariance condition,…

High Energy Physics - Theory · Physics 2014-11-21 Irina Bauer , Tatiana A. Ivanova , Olaf Lechtenfeld , Felix Lubbe

Instantons are the natural mechanism in non-perturbative QCD to remove helicity from valence quarks and transfer it to gluons and quark-antiquark pairs. To understand the extent to which instantons explain the so-called "spin crisis" in the…

High Energy Physics - Lattice · Physics 2008-11-26 D. Dolgov , R. Brower , J. W. Negele , A. Pochinsky

Finite temperature instantons between meta-stable vacua of correlated electronic system are solved analytically for quasi one-dimensional Hubbard model. The instantons produce dynamic symmetry breaking and connect metallic state with the…

Strongly Correlated Electrons · Physics 2008-07-29 S. I. Mukhin

We present an introduction to the use of noncommutative geometry for gauge theories with emphasis on a construction of instantons for a class of four dimensional toric noncommutative manifolds. These instantons are solutions of self-duality…

High Energy Physics - Theory · Physics 2007-05-23 Giovanni Landi , Walter van Suijlekom

We consider the Yang-Mills flow equations on a reductive coset space G/H and the Yang-Mills equations on the manifold R x G/H. On nonsymmetric coset spaces G/H one can introduce geometric fluxes identified with the torsion of the spin…

High Energy Physics - Theory · Physics 2009-10-20 Tatiana A. Ivanova , Olaf Lechtenfeld , Alexander D. Popov , Thorsten Rahn

We study the ADHM construction of instantons in N=2 supersymmetric Yang-Mills theory deformed in constant Ramond-Ramond (R-R) 3-form field strength background in type IIB superstrings. We compare the deformed instanton effective action with…

High Energy Physics - Theory · Physics 2009-01-14 Katsushi Ito , Hiroaki Nakajima , Shin Sasaki

We present our study of a set of solutions to the $SU(N)$ Yang-Mills equations of motion with fractional topological charge. The configurations are obtained numerically by minimizing the action with gradient flow techniques on a torus of…

High Energy Physics - Theory · Physics 2022-12-05 Jorge Luis Dasilva Golan , Margarita Garcia Perez

We interpret a class of 4k-dimensional instanton solutions found by Ward, Corrigan, Goddard and Kent as four-dimensional instantons at angles. The superposition of each pair of four-dimensional instantons is associated with four angles…

High Energy Physics - Theory · Physics 2009-10-09 G. Papadopoulos , A. Teschendorff

In a previous publication [1], local gauge invariant geometric variables were introduced to describe the physical Hilbert space of Yang-Mills theory. In these variables, the electric energy involves the inverse of an operator which can…

High Energy Physics - Theory · Physics 2010-11-19 Peter E. Haagensen , Kenneth Johnson , C. S. Lam

We discuss instantons on noncommutative four-dimensional Euclidean space. In commutative case one can consider instantons directly on Euclidean space, then we should restrict ourselves to the gauge fields that are gauge equivalent to the…

High Energy Physics - Theory · Physics 2011-07-19 Albert Schwarz

We Study instanton solutions in general relativity with a scalar field. The metric ansatz we use is composed of a particular warp product of general Einstein metrics, such as those found in a number of cosmological settings, including…

High Energy Physics - Theory · Physics 2009-10-31 E. J. Copeland , J. A. Gray , P. M. Saffin

The small instanton transition of a five-brane colliding with one end of the S1/Z2 interval in heterotic M-theory is discussed, with emphasis on the transition moduli, their potential function and the associated non-perturbative…

High Energy Physics - Theory · Physics 2010-12-03 Alexander Borisov , Evgeny I. Buchbinder , Burt A. Ovrut