ترغب بنشر مسار تعليمي؟ اضغط هنا

Lorentz-Invariant Interpretation of Noncommutative Space-Time - global version

39   0   0.0 ( 0 )
 نشر من قبل Pawel Maslanka
 تاريخ النشر 2004
  مجال البحث
والبحث باللغة English




اسأل ChatGPT حول البحث

The global version of the quantum symmetry defined by Chaichian et al (hep-th/0408069) is constructed.

قيم البحث

اقرأ أيضاً

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.
We consider Carroll-invariant limits of Lorentz-invariant field theories. We show that just as in the case of electromagnetism, there are two inequivalent limits, one electric and the other magnetic. Each can be obtained from the corresponding Lorent z-invariant theory written in Hamiltonian form through the same contraction procedure of taking the ultrarelativistic limit $c rightarrow 0$ where $c$ is the speed of light, but with two different consistent rescalings of the canonical variables. This procedure can be applied to general Lorentz-invariant theories ($p$-form gauge fields, higher spin free theories etc) and has the advantage of providing explicitly an action principle from which the electrically-contracted or magnetically-contracted dynamics follow (and not just the equations of motion). Even though not manifestly so, this Hamiltonian action principle is shown to be Carroll invariant. In the case of $p$-forms, we construct explicitly an equivalent manifestly Carroll-invariant action principle for each Carroll contraction. While the manifestly covariant variational description of the electric contraction is rather direct, the one for the magnetic contraction is more subtle and involves an additional pure gauge field, whose elimination modifies the Carroll transformations of the fields. We also treat gravity, which constitutes one of the main motivations of our study, and for which we provide the two different contractions in Hamiltonian form.
270 - B. Mirza , M. Zarei 2008
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.
86 - John Cardy 2018
We point out that the arguments of Zamolodchikov and others on the $Toverline T$ and similar deformations of two-dimensional field theories may be extended to the more general non-Lorentz invariant case, for example non-relativistic and Lifshitz-type theories. We derive results for the finite-size spectrum and $S$-matrix of the deformed theories.
التعليقات
جاري جلب التعليقات جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا