Perturbation TheoryGreen FunctionCommutation RelationBasic RuleAssuming the S-matrix on noncommutative (NC) spacetime can still be developped perturbatively in terms of the time-ordered exponential of the inter
Perturbation theory: The S-matrix (in quantum field theory) is the limit asof an operatorsatisfying: and by repeated integration we obtain the Dyson series: S=limτ0→−∞,τ→∞U(τ,τ0)=∑N=1∞(−i)N∫−∞∞∫−∞t1∫−∞t2⋯∫−∞tN−1V(t1)⋯V(tN)dt1⋯dtN ...
(3.1) arise in perturbation theory when HT is written as \\\(H_o^\\\gamma + H_1^\\\gamma \\\) and exp \\\(\\\left[ { - i\\\int\\\limits_{{t_o}}^t {H_1^\\\gamma } } ight]\\\) is developed in power series.doi:10.1007/978-94-017-1634-5_3F. LangoucheD...
We study remaining Lorentz symmetry, i.e., Lorentz transformations which leave the noncommutativity parameter θμν invariant, within the approach of time-ordered perturbation theory (TOPT) to space–time noncommutative theories. Their violation is shown in a simple scattering process. We argue ...
In contrast to other approaches reported in the literature the theory does not use perturbation theory in the interaction picture and an integral formulation as a starting point, but rather requires a propagation of the resulting differential equation for the amplitudes. While the theory is applicable...
Integral equations for meson-baryon scattering amplitudes are obtained by utilizing time-ordered perturbation theory for a manifestly Lorentz-invariant formulation of baryon chiral perturbation theory. Effective potentials are defined as sums of two-particle irreducible contributions of time-ordered diagrams ...
Dehne, Some phenomenological consequences of the time-ordered perturbation theory of QED on non- commutative spacetime [hep-ph/0211425]Y. Liao, C. Dehne, Some phenomenological consequences of the time-ordered perturba- tion theory of QED on noncommutative spacetime, Eur. Phys. J. C29 (2003) ...
functionsinteractionslinear momentummathematical spacematrix elementsperturbation theoryrenormalizationwightman field theory quantum field theory/wightman functions for divergence- free and local, for renormalizable and unrenormalizable interactions, perturbation analysis from time-ordered matrix elements as indica...