Axial anomaly of QED in a strong magnetic field and noncommutative anomaly
نویسندگان
چکیده
منابع مشابه
Axial anomaly of QED in a strong magnetic field and noncommutative anomaly
The Adler-Bell-Jackiw (ABJ) anomaly of a 3 + 1 dimensional QED is calculated in the presence of a strong magnetic field. It is shown that in the regime with the lowest Landau level (LLL) dominance a dimensional reduction from D = 4 to D = 2 dimensions occurs in the longitudinal sector of the low energy effective field theory. In the chiral limit, the resulting anomaly is therefore comparable wi...
متن کاملWitten Map and the Axial Anomaly in Noncommutative Field Theory
Using the point-splitting regularisation, we calculate the axial anomaly in an arbitrary even dimensional Non-Commutative (NC) field theory. Our result is (star) gauge invariant in its unintegrated form, to the leading order in the NC parameter. Exploiting the Seiberg Witten map, this result gets transformed to the familiar Adler-Bell-Jackiw anomaly in ordinary space-time. Furthermore, using th...
متن کاملStrong Field, Noncommutative QED
We review the effects of strong background fields in noncommutative QED. Beginning with the noncommutative Maxwell and Dirac equations, we describe how combined noncommutative and strong field effects modify the propagation of fermions and photons. We extend these studies beyond the case of constant backgrounds by giving a new and revealing interpretation of the photon dispersion relation. Cons...
متن کاملPair Creation and Axial Anomaly in Light-cone Qed 2
The 1+1 dimensional massive Dirac equation is solved exactly in lightcone coordinates for x > 0 and x− > −L, in the presence of an arbitrary x dependent electric field. Our solution resolves the ambiguity at p = 0. We also obtain the one loop rate for pair production for a positive electric field, compute the expectation values of the vector and axial vector currents, and recover the well known...
متن کاملAxial Anomaly in Non-Commutative QED on R
The axial anomaly of the non-commutative QED is calculated by a number of methods and compared with the commutative one. It is found to be given by the corresponding Chern class. PACS No.: 11.15.Bt, 11.10.Gh, 11.25.Db
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2006
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.74.085032