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Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG

Yıl 2017, Cilt 41, Sayı 3, 244 - 255, 01.06.2017

Öz

We use the exact renormalization group (ERG) perturbatively to construct the Wilson action for the two-dimensional O(N) nonlinear sigma model (NLSM). The construction amounts to regularization of a nonlinear symmetry with a momentum cutoff. We find out that the model is parameterized by three functions. We show how to tune them by imposing the Ward--Takahashi (WT) identity. We construct two composite operators that generate infinitesimal change of the coupling constant and the renormalization of the scalar fields. Finally we show how the beta functions and the anomalous dimensions arise in the model up to 1-loop.

Yıl 2017, Cilt 41, Sayı 3, 244 - 255, 01.06.2017

Öz

Ayrıntılar

Bölüm Makaleler
Yazarlar

Bekir Can LÜTFÜOĞLU Bu kişi benim


Hidenori SONODA Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2017
Yayınlandığı Sayı Yıl 2017, Cilt 41, Sayı 3

Kaynak Göster

Bibtex @ { tbtkphysics401920, journal = {Turkish Journal of Physics}, issn = {1300-0101}, eissn = {1303-6122}, address = {}, publisher = {TÜBİTAK}, year = {2017}, volume = {41}, number = {3}, pages = {244 - 255}, title = {Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG}, key = {cite}, author = {Lütfüoğlu, Bekir Can and Sonoda, Hidenori} }
APA Lütfüoğlu, B. C. & Sonoda, H. (2017). Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG . Turkish Journal of Physics , 41 (3) , 244-255 . Retrieved from https://dergipark.org.tr/tr/pub/tbtkphysics/issue/35851/401920
MLA Lütfüoğlu, B. C. , Sonoda, H. "Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG" . Turkish Journal of Physics 41 (2017 ): 244-255 <https://dergipark.org.tr/tr/pub/tbtkphysics/issue/35851/401920>
Chicago Lütfüoğlu, B. C. , Sonoda, H. "Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG". Turkish Journal of Physics 41 (2017 ): 244-255
RIS TY - JOUR T1 - Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG AU - Bekir CanLütfüoğlu, HidenoriSonoda Y1 - 2017 PY - 2017 N1 - DO - T2 - Turkish Journal of Physics JF - Journal JO - JOR SP - 244 EP - 255 VL - 41 IS - 3 SN - 1300-0101-1303-6122 M3 - UR - Y2 - 2022 ER -
EndNote %0 Turkish Journal of Physics Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG %A Bekir Can Lütfüoğlu , Hidenori Sonoda %T Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG %D 2017 %J Turkish Journal of Physics %P 1300-0101-1303-6122 %V 41 %N 3 %R %U
ISNAD Lütfüoğlu, Bekir Can , Sonoda, Hidenori . "Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG". Turkish Journal of Physics 41 / 3 (Haziran 2017): 244-255 .
AMA Lütfüoğlu B. C. , Sonoda H. Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG. Turkish Journal of Physics. 2017; 41(3): 244-255.
Vancouver Lütfüoğlu B. C. , Sonoda H. Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG. Turkish Journal of Physics. 2017; 41(3): 244-255.
IEEE B. C. Lütfüoğlu ve H. Sonoda , "Perturbative construction of the two-dimensional O(N) nonlinear sigma model with ERG", Turkish Journal of Physics, c. 41, sayı. 3, ss. 244-255, Haz. 2017