نوع مقاله : مقاله پژوهشی
نویسندگان
گروه فیزیک، دانشکدۀ علوم، دانشگاه ارومیه، ارومیه
چکیده
ξ -شبه عملگر دیراک اخیراً به کمک ساخت ξ -شبه مدول‌ها و تصویرگرهای مناسب روی فضای AdS2 ساخته شده است. در این مقاله، این عملگر با کمک نظریۀ گروه ساخته خواهد شد. برای این منظور، در ابتدا ساختار اسپینی فضای AdS2 سساخته می‌شود و سپس به کمک روابط مربوط به کنش‌های راست و چپ و شکل‌های مورر-کارتان، ξ -شبه عملگر دیراک و سپس شکل پیمانه‌ای آن در حالت اینستنتونی و بدون اینستنتون معرفی خواهد شد و در انتها طیف آن نیز در حالت‌های مختلف ارائه شده از این ξ -شبه عملگر، محاسبه می‌شود.
کلیدواژه‌ها
موضوعات
عنوان مقاله [English]
Group theoretic approach to calculate the ξ- pseudo Dirac operator and its spectrum on AdS2
نویسندگان [English]
- Mehdi Lotfizadeh
- Mohammad Mahmoodi
- Behnam Mohammadi
Department of Physics, Urmia University, Urmia, Iran
چکیده [English]
ξ-pseudo Dirac operator has recently been constructed with the help of ξ-pseudo modules and appropriate projectors on AdS2 space. In this article, this operator will be constructed with the help of group theory. For this purpose, firstly, the spin structure of AdS2 space is built and then,with the help of relations related to right and left actions and Maurer-Cartan forms, ξ- pseudo Dirac operator and then its scalar form in, instanton and non-instanton mode is introduced will be and at the end its spectrum is also calculated in different states of this ξ-pseudo operator.
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کلیدواژه‌ها [English]
- ξ - pseudo Dirac operator
- ξ - pseudo chirality operator
- spinor bundle
- gauge fields
- spectrum
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