DIFFERENSIAL-GEOMETRIK TOLALI QATLAMLAR NAZARIYASI VA YANG–MILLS MAYDONLARINING GEOMETRIK ASOSLARI
Keywords:
Differensial geometriya, tolali qatlamlar, asosiy tolali qatlam, bog‘langan qatlam, Lie guruhi, Lie algebra, kalibrovka simmetriyasi, bog‘lanish (connection), egrilik (curvature), kovariant hosila, Yang–Mills maydonlariAbstract
Ushbu maqolada differensial geometriyaning muhim bo‘limlaridan biri bo‘lgan tolali qatlamlar nazariyasi va uning zamonaviy nazariy fizikadagi asosiy qo‘llanilishlaridan biri — Yang–Mills maydonlari tahlil qilinadi. Asosiy tushunchalar: asosiy va bog‘langan tolali qatlamlar, bog‘lanishlar (connections), egrilik (curvature), kovariant hosilalar hamda ularning kalibrovka nazariyalaridagi roli batafsil yoritiladi
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