scholarly journals ANOMALY AND NONPLANAR DIAGRAMS IN NONCOMMUTATIVE GAUGE THEORIES

2002 ◽  
Vol 17 (01) ◽  
pp. 123-144 ◽  
Author(s):  
FARHAD ARDALAN ◽  
NÉDA SADOOGHI
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Gauge Fields ◽  
Noncommutative Gauge Theory ◽  
Gauge Anomalies ◽  
Noncommutative Gauge Theories ◽  
Matter Fields

Anomalies arising from nonplanar triangle diagrams of noncommutative gauge theory are studied. Local chiral gauge anomalies for both noncommutative U(1) and U(N) gauge theories with adjoint matter fields are shown to vanish. For noncommutative QED with fundamental matters, due to UV/IR mixing a finite anomaly emerges from the nonplanar contributions. It involves a generalized ⋆-product of gauge fields.

scholarly journals The Dyon Charge in Noncommutative Gauge Theories

2008 ◽  
Vol 2008 ◽  
pp. 1-4 ◽  
Author(s):  
L. Cieri ◽  
F. A. Schaposnik
Keyword(s):  
Gauge Theory ◽  
Cp Violation ◽  
Gauge Theories ◽  
Higgs Model ◽  
Ordinary Space ◽  
Yang Mills ◽  
Noncommutative Version ◽  
Noncommutative Gauge Theory ◽  
Noncommutative Gauge Theories

We construct a dyon solution for the noncommutative version of the Yang-Mills-Higgs model with a ϑ-term. Extending the Noether method to the case of a noncommutative gauge theory, we analyze the effect of CP violation induced both by the ϑ-term and by noncommutativity proving that the Witten effect formula for the dyon charge remains the same as in ordinary space.

scholarly journals ANOMALIES IN NONCOMMUTATIVE GAUGE THEORIES, SEIBERG–WITTEN TRANSFORMATION AND RAMOND–RAMOND COUPLINGS

2004 ◽  
Vol 19 (04) ◽  
pp. 613-630 ◽  
Author(s):  
RABIN BANERJEE
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Chern Character ◽  
Exact Expression ◽  
Gauge Invariant ◽  
Axial Anomaly ◽  
Noncommutative Gauge Theory ◽  
Noncommutative Gauge Theories

We propose an exact expression for the unintegrated form of the star gauge-invariant axial anomaly in an arbitrary even dimensional noncommutative gauge theory. The proposal is based on our earlier work,7 as well as on the inverse Seiberg–Witten map and identities related to it, obtained previously15,18 by comparing Ramond–Ramond couplings in different descriptions. The integrated anomalies, found from the unintegrated ones, are expressed in terms of a simplified version of the Elliott formula involving the noncommutative Chern character. These anomalies, under the Seiberg–Witten transformation, reduce to the ordinary (integrated) axial anomalies. Compatibility with existing results of anomalies in noncommutative theories is established.

scholarly journals SU(2) hadrons on a quantum computer via a variational approach

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Yasar Y. Atas ◽  
Jinglei Zhang ◽  
Randy Lewis ◽  
Amin Jahanpour ◽  
Jan F. Haase ◽  
...  
Keyword(s):  
Gauge Theory ◽  
Nuclear Physics ◽  
Variational Approach ◽  
Gauge Theories ◽  
Quantum Computer ◽  
Quantum Computers ◽  
Abelian Gauge ◽  
Quantum Simulations ◽  
Sign Problem ◽  
Matter Fields

AbstractQuantum computers have the potential to create important new opportunities for ongoing essential research on gauge theories. They can provide simulations that are unattainable on classical computers such as sign-problem afflicted models or time evolutions. In this work, we variationally prepare the low-lying eigenstates of a non-Abelian gauge theory with dynamically coupled matter on a quantum computer. This enables the observation of hadrons and the calculation of their associated masses. The SU(2) gauge group considered here represents an important first step towards ultimately studying quantum chromodynamics, the theory that describes the properties of protons, neutrons and other hadrons. Our calculations on an IBM superconducting platform utilize a variational quantum eigensolver to study both meson and baryon states, hadrons which have never been seen in a non-Abelian simulation on a quantum computer. We develop a hybrid resource-efficient approach by combining classical and quantum computing, that not only allows the study of an SU(2) gauge theory with dynamical matter fields on present-day quantum hardware, but further lays out the premises for future quantum simulations that will address currently unanswered questions in particle and nuclear physics.

scholarly journals ON THE SPACE–TIME SYMMETRIES OF NONCOMMUTATIVE GAUGE THEORIES

2002 ◽  
Vol 17 (17) ◽  
pp. 2369-2376 ◽  
Author(s):  
A. IORIO ◽  
T. SÝKORA
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Space Time ◽  
Time Transformation ◽  
Conformal Transformations ◽  
Gauge Groups ◽  
Noncommutative Gauge Theories

We study the space–time symmetries and transformation properties of the non-commutative U(1) gauge theory, by using Noether charges. We carry out our analysis by keeping an open view on the possible ways θμν could transform. Since the theory is not invariant under the conformal transformations, with the only exception of space–time translations, we conclude that the most natural and dynamically consistent requirement is that θμν does not transform under any space–time transformation. A similar analysis should apply to other gauge groups.

scholarly journals Partial Resolution of Complex Cones over Fanoℬ

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Siddharth Dwivedi ◽  
P. Ramadevi
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Special Kind ◽  
Inverse Algorithm ◽  
Quiver Gauge Theory ◽  
Partial Resolution ◽  
Chern Simons ◽  
Matter Fields

In our recent paper, we systematized an inverse algorithm to obtain quiver gauge theory living on theM2-branes probing the singularities of a special kind of Calabi-Yau fourfold which were complex cones over toric Fanoℙ3,ℬ1,ℬ2,ℬ3. These quiver gauge theories cannot be given a dimer tiling presentation. We use the method of partial resolution to show that the toric data ofℂ4and Fanoℙ3can be embedded inside the toric data of Fanoℬtheories. This method indirectly justifies that the two-node quiver Chern-Simons theories corresponding toℂ4, Fanoℙ3, and their orbifolds can be obtained by higgsing matter fields of the three-node parent quiver corresponding to Fanoℬ1,ℬ2,ℬ3,ℬ4threefold.

The Yang-Mills fields — from the gauge theory to the mechanical model

Open Physics ◽  
2009 ◽  
Vol 7 (4) ◽  
Author(s):  
Radu Constantinescu ◽  
Carmen Ionescu
Keyword(s):  
Gauge Theory ◽  
Dynamical Systems ◽  
Mechanical Model ◽  
Gauge Theories ◽  
Nonlinear Dynamical Systems ◽  
Gauge Fields ◽  
Global Symmetry ◽  
Nonlinear Dynamical ◽  
Yang Mills ◽  
Mechanical Models

AbstractThe paper presents some mechanical models of gauge theories, i.e. gauge fields transposed in a space with a finite number of degree of freedom. The main focus is on how a global symmetry as the BRST one could be transferred in this context. The mechanical Yang-Mills model modified by taking the ghost type variables into account will be considered as an example of nonlinear dynamical systems.

scholarly journals ON THE ANOMALIES AND SCHWINGER TERMS IN NONCOMMUTATIVE GAUGE THEORIES

2006 ◽  
Vol 21 (19n20) ◽  
pp. 4161-4183 ◽  
Author(s):  
F. ARDALAN ◽  
H. ARFAEI ◽  
N. SADOOGHI
Keyword(s):  
Gauge Theory ◽  
Current Algebra ◽  
Gauge Theories ◽  
Noncommutative Gauge Theories

Invariant (nonplanar) anomaly of noncommutative QED is reexamined in this paper. It is found that just as in ordinary gauge theory UV regularization is needed to discover anomalies, in noncommutative case, in addition, an IR regularization is also required to exhibit the existence of invariant anomaly. Thus resolving the controversy in the value of invariant anomaly, an expression for the unintegrated anomaly is found. Schwinger terms of the current algebra of the theory are derived.

scholarly journals Four-dimensional noncommutative deformations of U(1) gauge theory and L∞ bootstrap.

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Maxim Kurkov ◽  
Patrizia Vitale
Keyword(s):  
Gauge Theory ◽  
Field Strength ◽  
Gauge Theories ◽  
General Scheme ◽  
Three Dimensional ◽  
Theoretical Models ◽  
Classical Action ◽  
Gauge Transformations ◽  
Noncommutative Algebras ◽  
Noncommutative Gauge Theories

Abstract We construct a family of four-dimensional noncommutative deformations of U(1) gauge theory following a general scheme, recently proposed in JHEP 08 (2020) 041 for a class of coordinate-dependent noncommutative algebras. This class includes the $$ \mathfrak{su} $$ su (2), the $$ \mathfrak{su} $$ su (1, 1) and the angular (or λ-Minkowski) noncommutative structures. We find that the presence of a fourth, commutative coordinate x0 leads to substantial novelties in the expression for the deformed field strength with respect to the corresponding three-dimensional case. The constructed field theoretical models are Poisson gauge theories, which correspond to the semi-classical limit of fully noncommutative gauge theories. Our expressions for the deformed gauge transformations, the deformed field strength and the deformed classical action exhibit flat commutative limits and they are exact in the sense that all orders in the deformation parameter are present. We review the connection of the formalism with the L∞ bootstrap and with symplectic embeddings, and derive the L∞-algebra, which underlies our model.

scholarly journals PLANAR AND NONPLANAR KONISHI ANOMALIES AND EFFECTIVE SUPERPOTENTIAL FOR NONCOMMUTATIVE ${\mathcal N}=1$ SUPERSYMMETRIC U(1)

2005 ◽  
Vol 20 (13) ◽  
pp. 2859-2892 ◽  
Author(s):  
FARHAD ARDALAN ◽  
NÉDA SADOOGHI
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Gauge Theories ◽  
Gauge Invariant ◽  
Noncommutative Gauge Theories

The Konishi anomalies for noncommutative [Formula: see text] supersymmetric U (1) gauge theory arising from planar and nonplanar diagrams are calculated. Whereas planar Konishi anomaly is the expected ⋆-deformation of the commutative anomaly, nonplanar anomaly reflects the important features of nonplanar diagrams of noncommutative gauge theories, such as UV/IR mixing and the appearance of nonlocal open Wilson lines. We use the planar and nonplanar Konishi anomalies to calculate the effective superpotential of the theory. In the limit of vanishing |Θp|, with Θ the noncommutativity parameter, the noncommutative effective superpotential depends on a gauge invariant superfield, which includes supersymmetric Wilson lines, and has nontrivial dependence on the gauge field supermultiplet.

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