scholarly journals The Cutkosky rule of three dimensional noncommutative field theory in Lie algebraic noncommutative spacetime

2009 ◽  
Vol 2009 (06) ◽  
pp. 013-013 ◽  
Author(s):  
Yuya Sasai ◽  
Naoki Sasakura
Keyword(s):  
Field Theory ◽  
Three Dimensional ◽  
Noncommutative Field Theory ◽  
Rule Of Three ◽  
Noncommutative Spacetime

scholarly journals The Cutkosky Rule of Three Dimensional Noncommutative Field Theory in Lie Algebraic Noncommutative Spacetime

2009 ◽  
Author(s):  
Yuya Sasai ◽  
Naoki Sasakura ◽  
Jerzy Kowalski-Glikman ◽  
R. Durka ◽  
M. Szczachor
Keyword(s):  
Field Theory ◽  
Three Dimensional ◽  
Noncommutative Field Theory ◽  
Rule Of Three ◽  
Noncommutative Spacetime

scholarly journals DOMAIN WALL SOLITONS AND HOPF ALGEBRAIC TRANSLATIONAL SYMMETRIES IN NONCOMMUTATIVE FIELD THEORIES

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2277-2278
Author(s):  
YUYA SASAI ◽  
NAOKI SASAKURA
Keyword(s):  
Field Theory ◽  
Domain Wall ◽  
Parameter Family ◽  
Field Theories ◽  
Translational Symmetry ◽  
Noncommutative Field Theory ◽  
Noncommutative Spacetime

Domain wall solitons are the simplest topological objects in field theories. The conventional translational symmetry in a field theory is the generator of a one-parameter family of domain wall solutions, and induces a massless moduli field which propagates along a domain wall. We study similar issues in braided noncommutative field theories possessing Hopf algebraic translational symmetries. As a concrete example, we discuss a domain wall soliton in the scalar braided noncommutative field theory in Lie-algebraic noncommutative spacetime, which has a Hopf algebraic translational symmetry. We construct explicitly a one-parameter family of solutions in perturbation of the noncommutativity parameter. We then find the massless moduli field which propagates on the domain wall soliton. This work is based on arXiv:0711.3059.

scholarly journals Lifshitz field theories, Snyder noncommutative spacetime and momentum-dependent metric

2015 ◽  
Vol 30 (29) ◽  
pp. 1550155 ◽  
Author(s):  
Juan M. Romero ◽  
J. David Vergara
Keyword(s):  
Field Theory ◽  
Symplectic Structure ◽  
Field Theories ◽  
Noncommutative Field Theory ◽  
The Third ◽  
First Case ◽  
Anisotropic Field ◽  
Quantum Version ◽  
Noncommutative Spacetime ◽  
Relativistic Particles

In this paper, we propose three different modified relativistic particles. In the first case, we propose a particle with metrics depending on the momenta and we show that the quantum version of these systems includes different field theories, as Lifshitz field theories. As a second case, we propose a particle that implies a modified symplectic structure and we show that the quantum version of this system gives different noncommutative spacetimes, for example the Snyder spacetime. In the third case, we combine both structures before mentioned, namely noncommutative spacetimes and momentum-dependent metrics. In this last case, we show that anisotropic field theories can be seen as a limit of noncommutative field theory.

scholarly journals Boundary conditions in topological AdS4/CFT3

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Pietro Benetti Genolini ◽  
Matan Grinberg ◽  
Paul Richmond
Keyword(s):  
Field Theory ◽  
Free Energy ◽  
Boundary Conditions ◽  
Smooth Solution ◽  
Three Dimensional ◽  
Field Theories ◽  
Legendre Transformation ◽  
Generating Functional ◽  
Holographic Duals

Abstract We revisit the construction in four-dimensional gauged Spin(4) supergravity of the holographic duals to topologically twisted three-dimensional $$ \mathcal{N} $$ N = 4 field theories. Our focus in this paper is to highlight some subtleties related to preserving supersymmetry in AdS/CFT, namely the inclusion of finite counterterms and the necessity of a Legendre transformation to find the dual to the field theory generating functional. Studying the geometry of these supergravity solutions, we conclude that the gravitational free energy is indeed independent from the metric of the boundary, and it vanishes for any smooth solution.

scholarly journals Colourful Poincaré symmetry, gravity and particle actions

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Joaquim Gomis ◽  
Euihun Joung ◽  
Axel Kleinschmidt ◽  
Karapet Mkrtchyan
Keyword(s):  
Field Theory ◽  
Free Particle ◽  
Three Dimensional ◽  
Background Field ◽  
Quantum Field ◽  
Symmetry Factor ◽  
Starting Point ◽  
Poincaré Algebra ◽  
Poincaré Symmetry ◽  
Three Space

Abstract We construct a generalisation of the three-dimensional Poincaré algebra that also includes a colour symmetry factor. This algebra can be used to define coloured Poincaré gravity in three space-time dimensions as well as to study generalisations of massive and massless free particle models. We present various such generalised particle models that differ in which orbits of the coloured Poincaré symmetry are described. Our approach can be seen as a stepping stone towards the description of particles interacting with a non-abelian background field or as a starting point for a worldline formulation of an associated quantum field theory.

THE NEXT STEP IN LEPTONIC DECAYS OF ETA AND KL BOUND STATES

1992 ◽  
Vol 07 (09) ◽  
pp. 1935-1951 ◽  
Author(s):  
G.A. KOZLOV
Keyword(s):  
Field Theory ◽  
Transition Form Factor ◽  
Bound States ◽  
Three Dimensional ◽  
Bound State ◽  
Quantum Field ◽  
Relative Momentum ◽  
Transition Form ◽  
Structure Transition ◽  
Leptonic Decays

A systematic discussion of the probability of eta and KL bound-state decays—[Formula: see text] and [Formula: see text](l=e, μ)—within a three-dimensional reduction to the two-body quantum field theory is presented. The bound-state vertex function depends on the relative momentum of constituent-like particles. A structure-transition form factor is defined by a confinement-type quark-antiquark wave function. The phenomenology of this kind of decays is analyzed.

scholarly journals BOSE–FERMI EQUIVALENCE IN THREE-DIMENSIONAL NONCOMMUTATIVE SPACETIME

2008 ◽  
Vol 23 (35) ◽  
pp. 3015-3022
Author(s):  
K. M. AJITH ◽  
E. HARIKUMAR ◽  
M. SIVAKUMAR
Keyword(s):  
Partition Function ◽  
Gauge Field ◽  
Three Dimensional ◽  
Coupling Constant ◽  
Spin Factor ◽  
Noncommutative Spacetime ◽  
Chern Simons

We study the fermionisation of Seiberg–Witten mapped action (to order θ) of the λϕ4 theory coupled minimally with U(1) gauge field governed by Chern–Simons action. Starting from the corresponding partition function we derive nonperturbatively (in coupling constant) the partition function of the spin-1/2 theory following Polyakov spin factor formalism. We find that the dual interacting fermionic theory is nonlocal. This feature also persists in the limit of vanishing self-coupling. In θ → 0 limit, the commutative result is obtained.

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