scholarly journals PREPOTENTIAL OF N=2 SUPERSYMMETRIC YANG–MILLS THEORIES IN THE WEAK COUPLING REGION

1998 ◽  
Vol 13 (09) ◽  
pp. 1495-1505 ◽  
Author(s):  
TAKAHIRO MASUDA ◽  
HISAO SUZUKI
Keyword(s):  
Riemann Surface ◽  
Weak Coupling ◽  
Quantum Effect ◽  
Low Energy ◽  
Coupling Region ◽  
Yang Mills ◽  
Instanton Contribution ◽  
Hyperelliptic Riemann Surface ◽  
Energy Quantum ◽  
The One

We show how to obtain the explicit form of the low energy quantum effect action for N=2 supersymmetric Yang–Mills theory in the weak coupling region from the underlying hyperelliptic Riemann surface. This is achieved by evaluating the integral representation of the fields explicitly. We calculate the leading instanton corrections for the group SU (Nc), SO (N) and SP (2N) and find that the one-instanton contribution of the prepotentials for these groups coincide with the one obtained recently by using the direct instanton calculation.

scholarly journals NONPERTURBATIVE EFFECTIVE ACTIONS OF (N=2)-SUPERSYMMETRIC GAUGE THEORIES

1996 ◽  
Vol 11 (11) ◽  
pp. 1929-1973 ◽  
Author(s):  
A. KLEMM ◽  
W. LERCHE ◽  
S. THEISEN
Keyword(s):  
Riemann Surface ◽  
Effective Action ◽  
Gauge Theories ◽  
Gauge Coupling ◽  
Low Energy ◽  
Yang Mills ◽  
Hyperelliptic Riemann Surface ◽  
Supersymmetric Gauge ◽  
Energy Quantum ◽  
Appell Functions

We elaborate on our previous work on (N=2)-supersymmetric Yang-Mills theory. In particular, we show how to explicitly determine the low energy quantum effective action for G=SU(3) from the underlying hyperelliptic Riemann surface, and calculate the leading instanton corrections. This is done by solving Picard-Fuchs equations and asymptotically evaluating period integrals. We find that the dynamics of the SU(3) theory is governed by an Appell system of type F4, and compute the exact quantum gauge coupling explicitly in terms of Appell functions.

scholarly journals Periods and Prepotential of N = 2 SU(2) Supersymmetric Yang–Mills Theory with Massive Hypermultiplets

1997 ◽  
Vol 12 (19) ◽  
pp. 3413-3431 ◽  
Author(s):  
Takahiro Masuda ◽  
Hisao Suzuki
Keyword(s):  
Elliptic Curve ◽  
Effective Action ◽  
Weak Coupling ◽  
Simple Formula ◽  
Hypergeometric Functions ◽  
Higgs Field ◽  
Low Energy ◽  
Coupling Region ◽  
Generalized Hypergeometric Functions ◽  
Yang Mills

We derive a simple formula for the periods associated with the low energy effective action of N = 2 supersymmetric SU(2) Yang–Mills theory with massive Nf ≤ 3 hypermultiplets. This is given by evaluating explicitly the integral associated to the elliptic curve using various identities of hypergeometric functions. Following this formalism, we can calculate the prepotential with massive hypermultiplets both in the weak coupling region and in the strong coupling region. In particular, we show how the Higgs field and its dual field are expressed as generalized hypergeometric functions when the theory has a conformal point.

scholarly journals On the component structure of one-loop effective actions in 6D, 𝒩 = (1,0) and 𝒩 = (1,1) supersymmetric gauge theories

2019 ◽  
Vol 35 (09) ◽  
pp. 2050060 ◽  
Author(s):  
I. L. Buchbinder ◽  
A. S. Budekhina ◽  
B. S. Merzlikin
Keyword(s):  
Effective Potential ◽  
Effective Action ◽  
Gauge Theories ◽  
Scalar Fields ◽  
Low Energy ◽  
Supersymmetric Gauge Theories ◽  
Component Structure ◽  
Yang Mills ◽  
Supersymmetric Gauge ◽  
The One

We study the six-dimensional [Formula: see text] and [Formula: see text] supersymmetric Yang–Mills (SYM) theories in the component formulation. The one-loop divergencies of effective action are calculated. The leading one-loop low-energy contributions to bosonic sector of effective action are found. It is explicitly demonstrated that the contributions to effective potential for the constant background scalar fields are absent in the [Formula: see text] SYM theory.

scholarly journals Localization of four-dimensional super-Yang–Mills theories compactified on Riemann surface

2016 ◽  
Vol 31 (36) ◽  
pp. 1650195
Author(s):  
Koichi Nagasaki
Keyword(s):  
Riemann Surface ◽  
Partition Function ◽  
Path Integral ◽  
Elliptic Genus ◽  
Yang Mills ◽  
The One

We consider the partition function of super-Yang–Mills theories defined on [Formula: see text]. This path integral can be computed by the localization. The one-loop determinant is evaluated by the elliptic genus. This elliptic genus gives trivial result in our calculation. As a result, we obtain a theory defined on the Riemann surface.

scholarly journals Simple Calculation of Instanton Corrections in MASSIVE N = 2 SU(3) SYM

1997 ◽  
Vol 12 (26) ◽  
pp. 4725-4742 ◽  
Author(s):  
Holger Ewen ◽  
Kristin Förger
Keyword(s):  
Weak Coupling ◽  
Simple Calculation ◽  
Fundamental Representation ◽  
Coupling Region ◽  
Gauge Groups ◽  
Yang Mills ◽  
Explicit Derivation

We give an explicit derivation of the Picard–Fuchs equations for N = 2 supersymmetric SU(3) Yang–Mills theory with Nf < 6 massive hypermultiplets in the fundamental representation. We determine the instanton corrections to the prepotential in the weak coupling region using the relation between Tr <ϕ2> and the prepotential. This method can be generalized straightforwardly to other gauge groups.

scholarly journals Confining potential under the gauge field condensation in the SU(2) Yang-Mills theory

2021 ◽  
Author(s):  
Hirohumi Sawayanagi
Keyword(s):  
Gauge Theory ◽  
Magnetic Monopole ◽  
Linear Part ◽  
Low Energy ◽  
Linear Potential ◽  
Yang Mills ◽  
Cornell Potential ◽  
Confining Potential ◽  
The One ◽  
Nonlinear Gauge

Abstract QǬ potential is studied in the SU(2) gauge theory. Based on the nonlinear gauge of the Curci-Ferrari type, the possibility of a gluon condensation ⟨Aμ+ Aμ−⟩ in low-energy region has been considered at the one-loop level. Instead of the magnetic monopole condensation, this condensation makes classical gluons massive, and can yield a linear potential. We show this potential consists of the Coulomb plus linear part and an additional part. Comparing with the Cornell potential, we study this confining potential in detail, and find that the potential has two implicit scales rc and ˜R0. The meanings of these scales are clarified. We also show that the Cornell potential that fits well to this confining potential is obtained by taking these scales into account.

scholarly journals ADE SINGULARITY AND PREPOTENTIALS IN N=2 SUPERSYMMETRIC YANG–MILLS THEORY

1998 ◽  
Vol 13 (31) ◽  
pp. 5373-5390 ◽  
Author(s):  
KATSUSHI ITO ◽  
SUNG-KIL YANG
Keyword(s):  
Toda Lattice ◽  
Complete Agreement ◽  
Gauge Groups ◽  
Yang Mills ◽  
Spectral Curves ◽  
Instanton Contribution ◽  
The One

We calculate the instanton corrections in the effective prepotential for N=2 supersymmetric Yang–Mills theory with all ADE gauge groups from the Seiberg–Witten geometry constructed out of the spectral curves of the periodic Toda lattice. The one-instanton contribution is determined explicitly by solving the Gauss–Manin system associated with the ADE singularity. Our results are in complete agreement with the ones obtained from the microscopic instanton calculations.

scholarly journals Kaonic atoms measurements at the DAΦNE collider: the SIDDHARTA-2 experiment

2022 ◽  
Vol 258 ◽  
pp. 07006
Author(s):  
Catalina Curceanu ◽  
Marco Miliucci ◽  
Massimiliano Bazzi ◽  
Damir Bosnar ◽  
Mario Bragadireanu ◽  
...  
Keyword(s):  
Low Energy ◽  
Kaonic Hydrogen ◽  
Nucleon Interaction ◽  
X Ray ◽  
Kaonic Atoms ◽  
Kaonic Deuterium ◽  
Model Independent ◽  
Energy Quantum ◽  
Scattering Lengths ◽  
The One

The X-ray spectroscopy measurements of light kaonic atoms’ deexcitation towards the fundamental level provide unique information on the low-energy Quantum ChromoDynamics (QCD) in the strangeness sector, being a direct probe of the kaon/nucleon interaction at threshold, unobtainable through the scattering experiments. In this framework, the SIDDHARTA-2 collaboration is going to perform the first kaonic deuterium 2p → 1s transition measurement at the DAΦNE collider of Istituto Nazionale di Fisica Nucleare – Laboratori Nazionali di Frascati. Combining this measurement with the kaonic hydrogen one performed by SIDDHARTA in 2009 it will be possible to obtain, in a model-independent way, the isospin-dependent antikaon-nucleon scattering lengths. The paper introduces the SIDDHARTA-2 setup, an upgraded version with respect to the one used for the kaonic hydrogen measurement, dedicated to the ambitious kaonic deuterium measurement, together with the preliminary results obtained during the kaonic helium run, preparatory for the SIDDHARTA-2 data taking campaign.

scholarly journals The integrable (hyper)eclectic spin chain

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Changrim Ahn ◽  
Matthias Staudacher
Keyword(s):  
Spin Chain ◽  
Nearest Neighbor ◽  
Inverse Scattering Method ◽  
Spin Chains ◽  
Scattering Method ◽  
Yang Mills ◽  
Deformation Parameters ◽  
Dilatation Operator ◽  
The One ◽  
State Spin

Abstract We refine the notion of eclectic spin chains introduced in [1] by including a maximal number of deformation parameters. These models are integrable, nearest-neighbor n-state spin chains with exceedingly simple non-hermitian Hamiltonians. They turn out to be non-diagonalizable in the multiparticle sector (n > 2), where their “spectrum” consists of an intricate collection of Jordan blocks of arbitrary size and multiplicity. We show how and why the quantum inverse scattering method, sought to be universally applicable to integrable nearest-neighbor spin chains, essentially fails to reproduce the details of this spectrum. We then provide, for n=3, detailed evidence by a variety of analytical and numerical techniques that the spectrum is not “random”, but instead shows surprisingly subtle and regular patterns that moreover exhibit universality for generic deformation parameters. We also introduce a new model, the hypereclectic spin chain, where all parameters are zero except for one. Despite the extreme simplicity of its Hamiltonian, it still seems to reproduce the above “generic” spectra as a subset of an even more intricate overall spectrum. Our models are inspired by parts of the one-loop dilatation operator of a strongly twisted, double-scaled deformation of $$ \mathcal{N} $$ N = 4 Super Yang-Mills Theory.

scholarly journals One-loop string corrections to AdS amplitudes from CFT

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
J.M. Drummond ◽  
H. Paul
Keyword(s):  
Stress Tensor ◽  
Analytic Structure ◽  
Position Space ◽  
Yang Mills ◽  
String Corrections ◽  
The One ◽  
Loop Amplitudes

Abstract We consider α′ corrections to the one-loop four-point correlator of the stress- tensor multiplets in $$ \mathcal{N} $$ N = 4 super Yang-Mills at order 1/N4. Holographically, this is dual to string corrections of the one-loop supergravity amplitude on AdS5 × S5. While this correlator has been considered in Mellin space before, we derive the corresponding position space results, gaining new insights into the analytic structure of AdS loop amplitudes. Most notably, the presence of a transcendental weight three function involving new singularities is required, which has not appeared in the context of AdS amplitudes before. We thereby confirm the structure of string corrected one-loop Mellin amplitudes, and also provide new explicit results at orders in α′ not considered before.

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