Summary of Super Doubler Approach on Exact Lattice Supersymmetry

التفاصيل البيبلوغرافية
العنوان: Summary of Super Doubler Approach on Exact Lattice Supersymmetry
المؤلفون: D'Adda, Alessandro, Kawamoto, Noboru, Saito, Jun
سنة النشر: 2015
المجموعة: High Energy Physics - Lattice
مصطلحات موضوعية: High Energy Physics - Lattice
الوصف: We have proposed a lattice SUSY formulation which we may call super doubler approach, where chiral fermion species doublers and their bosonic counter parts are either identified as super partners or truncated by chiral conditions. We claim that the super symmetry is exactly kept on the lattice. However the formulation is nonlocal and breaks lattice translational invariance. We argue that these features cause no fundamental difficulties in the continuum limit. Although a naive version of this formulation breaks associativity of the product of fields we have found a modified super doubler approach that recovers the associativity and is applicable to super Yang-Mills theory. It turns out that this formulation is essentially equivalent to the continuum formulation and thus keeps all the symmetry exact even at a finite lattice constant. Inspired by this formulation we propose a non-local lattice field theory formulation which is free of chiral fermion problem and has the same exact lattice symmetry as continuum theory.
Comment: Talk given at The 33rd International Symposium on Lattice Field Theory
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1510.08984
رقم الأكسشن: edsarx.1510.08984
قاعدة البيانات: arXiv