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We make progress towards a derivation of a low energy effective theory for SU(2) Yang-Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking proper care of the Slavnov-Taylor identities…

High Energy Physics - Theory · Physics 2019-02-20 A. N. Efremov

We present a semiclassical calculation of instanton effects in N=4 supersymmetric Yang-Mills theory formulated on R^{3}XS^{1} and also in the N=1 theory obtained by introducing chiral multiplet masses. In the N=4 case, these instanton…

High Energy Physics - Theory · Physics 2010-02-03 Nick Dorey , Andrei Parnachev

We show that instanton effects may play a crucial role in the decay of scalar mesons into two pseudoscalars. Particularly the branching ratios of two meson decays of the $f_0(1500)$, which is considered as a glue-ball candidate, are then…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ch. Ritter , B. C. Metsch , C. R. Munz , H. R. Petry

We consider instanton contributions to chiral correlators, such as <0| Tr \lambda^2 (x) Tr \lambda^2(x') |0>, in N=1 supersymmetric Yang-Mills theory with either light adjoint or fundamental matter. Within the former model, extraction of…

High Energy Physics - Theory · Physics 2015-06-26 Adam Ritz , Arkady Vainshtein

We discuss the N=2 SU(2) Yang-Mills theory coupled with a massive matter in the weak coupling. In particular, we obtain the instanton expansion of its prepotential. Instanton contributions in the mass-less limit are completely reproduced.…

High Energy Physics - Theory · Physics 2009-10-30 Yűji Ohta

Instantons play a crucial role in understanding non-perturbative dynamics in quantum field theories, including those with spontaneously broken gauge symmetries. In the broken phase, finite-size instanton-like configurations are no longer…

High Energy Physics - Theory · Physics 2026-04-06 Takafumi Aoki , Masahiro Ibe , Satoshi Shirai

We consider Euclidean SU(N) Yang-Mills theory on the space GxR, where G is a compact semisimple Lie group, and introduce first-order BPS-type equations which imply the full Yang-Mills equations. For gauge fields invariant under the adjoint…

High Energy Physics - Theory · Physics 2008-12-18 Tatiana A. Ivanova , Olaf Lechtenfeld

We study instanton effects along the Coulomb branch of an N=2 supersymmetric Yang-Mills theory with gauge group SU(2) on Asymptotically Locally Euclidean (ALE) spaces. We focus our attention on an Eguchi-Hanson gravitational background and…

High Energy Physics - Theory · Physics 2009-10-30 D. Bellisai , G. Travaglini

Two different scenarios (light-front and equal-time) are possible for Yang-Mills theories in two dimensions. The exact $\bar q q$-potential can be derived in perturbation theory starting from the light-front vacuum, but requires essential…

High Energy Physics - Theory · Physics 2009-10-31 A. Bassetto

Instantons in massless theories do not carry over to massive theories due to Derrick's theorem. This theorem can, however, be circumvented, if a constraint that restricts the scale of the instanton is imposed on the theory. Constrained…

High Energy Physics - Theory · Physics 2008-11-26 Morten Nielsen , N. K. Nielsen

These lecture notes begin with a review of the first nonleading contributions to the derivative expansion of the M theory effective action compactified on a two-torus. The form of these higher-derivative interactions is shown to follow from…

High Energy Physics - Theory · Physics 2009-10-31 Michael B. Green

We calculate the Euclidean action of a pair of Z2 monopoles (instantons), as a function of their spatial separation, in D=2+1 SU(2) lattice gauge theory. We do so both above and below the deconfining transition at T=Tc. At high T, and at…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hart , B. Lucini , Z. Schram , M. Teper

When it comes to the topological aspects, gravity may have profound effects even at the level of particle physics despite its negligibly small relative strength well below the Planck scale. In spite of this intriguing possibility,…

High Energy Physics - Theory · Physics 2009-10-31 Hongsu Kim , Yongsung Yoon

In these lectures, which are written at an elementary and pedagogical level, we discuss general aspects of (single) instantons in SU(N_c) Yang-Mills theory, and then specialize to the case of N = 4 supersymmetry and the large N_c limit. We…

High Energy Physics - Theory · Physics 2009-10-31 A. V. Belitsky , S. Vandoren , P. van Nieuwenhuizen

The contribution of instanton-induced effective inter-quark interactions to the baryon mass splittings was considered in the bag model. It is found that results are different from those obtained in the constituent quark model where the…

High Energy Physics - Phenomenology · Physics 2009-10-22 D. Klabučar

We show that the presence of finite-size monopoles can lead to a number of interesting physical processes involving quantum entanglement of charges. Taking as a model the classical solution of the N=2 SU(2) Yang-Mills theory, we study…

High Energy Physics - Theory · Physics 2009-11-07 R. Iengo , J. G. Russo

We propose an effective theory of SU(3) gluonic matter where interactions between color-electric and color-magnetic gluons are constrained by the center and scale symmetries. Through matching to the dimensionally-reduced magnetic theories,…

High Energy Physics - Phenomenology · Physics 2015-06-18 Chihiro Sasaki

We study the dynamics of the universe with a scalar field and an SU(2) non-Abelian Gauge (Yang-Mills) field. The scalar field has an exponential potential and the Yang-Mills field is coupled to the scalar field with an exponential function…

Cosmology and Nongalactic Astrophysics · Physics 2013-04-09 Kei-ichi Maeda , Kei Yamamoto

In the localization of 5-dimensional N = 1 super-Yang-Mills, contact-instantons arise as non-perturbative contributions. In this note, we revisit such configurations and discuss their generalizations. We propose for contact-instantons a…

High Energy Physics - Theory · Physics 2015-06-02 Yiwen Pan

Yang-Mills instantons in a pure Yang-Mills theory in four Euclidean space can be promoted to particle-like topological solitons in d=4+1 dimensional space-time. When coupled to Higgs fields, they transform themselves in the Higgs phase into…

High Energy Physics - Theory · Physics 2014-06-13 Muneto Nitta