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Partition function (quantum field theory) 分配函数 (場の量子論) دالة التقسيم (الفيزياء)
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場の量子論では、分配函数(partition function) Z[J] は、相関函数の母函数である。通常、分配函数は、次のの形で表現される。 ここに S は作用汎函数とする。 場の量子論における分配函数は、数学的な分配函数の特別の場合であり、統計力学の分配函数と関係している。二番目の差異は、より単純な分配函数の定義に見られるランダム変数の可算個の集まりが、非可算な集合に取って替わられ、従って、場 を渡るを使うことが必須となる。 In quantum field theory, partition functions are generating functionals for correlation functions, making them key objects of study in the path integral formalism. They are the imaginary time versions of statistical mechanics partition functions, giving rise to a close connection between these two areas of physics. Partition functions can rarely be solved for exactly, although free theories do admit such solutions. Instead, a perturbative approach is usually implemented, this being equivalent to summing over Feynman diagrams. دالة التقسيم في نظرية المجال الكمي دالة مولدة لجميع دوال الارتباط، وهي تعميم للدالة المميزة لنظرية الاحتمالات. * بوابة الفيزياء
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In quantum field theory, partition functions are generating functionals for correlation functions, making them key objects of study in the path integral formalism. They are the imaginary time versions of statistical mechanics partition functions, giving rise to a close connection between these two areas of physics. Partition functions can rarely be solved for exactly, although free theories do admit such solutions. Instead, a perturbative approach is usually implemented, this being equivalent to summing over Feynman diagrams. 場の量子論では、分配函数(partition function) Z[J] は、相関函数の母函数である。通常、分配函数は、次のの形で表現される。 ここに S は作用汎函数とする。 場の量子論における分配函数は、数学的な分配函数の特別の場合であり、統計力学の分配函数と関係している。二番目の差異は、より単純な分配函数の定義に見られるランダム変数の可算個の集まりが、非可算な集合に取って替わられ、従って、場 を渡るを使うことが必須となる。 دالة التقسيم في نظرية المجال الكمي دالة مولدة لجميع دوال الارتباط، وهي تعميم للدالة المميزة لنظرية الاحتمالات. * بوابة الفيزياء
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