Кроссинг-симметрия

Кроссинг-симметрия — тип симметрии в квантовой теории поля, связывающий амплитуду рождения элементарной частицы с амплитудой поглощения соответствующей ей античастицы. Является следствием CPT-инвариантности и свойством аналитичности амплитуд процессов как функции всех скалярных произведений четырёхмерных импульсов участвующих частиц. Амплитуда процесса рассеяния двух элементарных частиц с образованием двух новых частиц является аналитической функцией переменных Мандельштама s, u, t. При замене частиц на античастицы и переносе в другую часть уравнения эти переменные переходят друг в друга.

Если известна амплитуда реакции c участием четырех элементарных частиц c четырёхмерными импульсами :

,

то кроссинг-симметрия позволяет путём аналитического продолжения амплитуды реакции по импульсам частиц автоматически вычислить амплитуды реакций

,

путём замены

,

путём замены

причём все эти процессы рассматриваются как различные каналы протекания одной и той же реакции[1].

См. также

Примечания

  1. Ширков, 1967, с. 47-51.

Литература

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