اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدSpace-time symmetry of noncommutative field theory
47
0
0.0
(
0
)
اسأل ChatGPT حول البحث
ﻻ يوجد ملخص باللغة العربية
We consider the deformed Poincare group describing the space-time symmetry of noncommutative field theory. It is shown how the deformed symmetry is related to the explicit symmetry breaking.
قيم البحث
اقرأ أيضاً
We assume that the noncommutativity starts to be visible continuously from a scale $Lambda_{NC}$. According to this assumption, a two-loop effective action is derived for noncommutative $phi^{4}$ and $phi^{3}$ theories from a Wilsonian point of view.
We show that these effective theories are free of UV/IR mixing phenomena. We also investigate the positivity constraint on coefficients of higher dimension operators present in the effective theory. This constraint makes the low energy theory to be UV completion of a full theory. Finally, we discuss noncommutativity and extra dimensions. In our effective theories formulated on noncommutative extra dimensions, if the campactification scale $Lambda_{c}$ is less than the scale $Lambda_{NC}$, the theory will not suffer from UV/IR mixing.
The study of the heat-trace expansion in noncommutative field theory has shown the existence of Moyal nonlocal Seeley-DeWitt coefficients which are related to the UV/IR mixing and manifest, in some cases, the non-renormalizability of the theory. We s
how that these models can be studied in a worldline approach implemented in phase space and arrive to a master formula for the $n$-point contribution to the heat-trace expansion. This formulation could be useful in understanding some open problems in this area, as the heat-trace expansion for the noncommutative torus or the introduction of renormalizing terms in the action, as well as for generalizations to other nonlocal operators.
We consider a noncommutative field theory with space-time $star$-commutators based on an angular noncommutativity, namely a solvable Lie algebra: the Euclidean in two dimension. The $star$-product can be derived from a twist operator and it is shown
to be invariant under twisted Poincare transformations. In momentum space the noncommutativity manifests itself as a noncommutative $star$-deformed sum for the momenta, which allows for an equivalent definition of the $star$-product in terms of twisted convolution of plane waves. As an application, we analyze the $lambda phi^4$ field theory at one-loop and discuss its UV/IR behaviour. We also analyze the kinematics of particle decay for two different situations: the first one corresponds to a splitting of space-time where only space is deformed, whereas the second one entails a non-trivial $star$-multiplication for the time variable, while one of the three spatial coordinates stays commutative.
The global version of the quantum symmetry defined by Chaichian et al (hep-th/0408069) is constructed.
The concept of a noncommutative field is formulated based on the interplay between twisted Poincare symmetry and residual symmetry of the Lorentz group. Various general dynamical results supporting this construction, such as the light-wedge causality
condition and the integrability condition for Tomonaga-Schwinger equation, are presented. Based on this analysis, the claim of the identity between commutative QFT and noncommutative QFT with twisted Poincare symmetry is refuted.
سجل دخول لتتمكن من نشر تعليقات
التعليقات
جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
