Field transformations and the classical equation of motion in chiral perturbation theory.
Field transformations and the classical equation of motion in chiral perturbation theory.
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手征微扰理论中的场变换和经典运动方程。
DOI：
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发表时间：
1994
期刊：
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通讯作者：
H. W. Fearing
中科院分区：
文献类型：
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作者：
S. Scherer;H. W. Fearing
有效拉格朗日函数的构造通常涉及到应用“经典运动方程”来消除冗余结构，从而产生最少数量的独立项。我们调查这一过程中的手征微扰理论的框架内，特别强调出现在{italO}（{italp}{sup 6}）的新功能。“经典运动方程”的使用是根据场变换来解释的。这样的解释是至关重要的，如果一个人想把一个给定的拉格朗日到一个规范形式与最少数量的条款。我们强调，场变换的应用导致高阶项的系数的修改以及消除结构，或等效的，用已知的不同结构来表达某些结构。一旦考虑到以规范形式表达包含超出次前导顺序的项的模型有效交互作用的问题，这将变得相关，即，超过{ital O}（{ital p}{sup 4}）。在这种情况下，简单地将经典运动方程简单地应用于下降项，就像通常在最低阶所做的那样，会导致微妙的误差，我们对此进行了讨论。
The construction of effective Lagrangians commonly involves the application of the ``classical equation of motion`` to eliminate redundant structures and thus generate the minimal number of independent terms. We investigate this procedure in the framework of chiral perturbation theory with particular emphasis on the new features which appear at {ital O}({ital p}{sup 6}). The use of the ``classical equation of motion`` is interpreted in terms of field transformations. Such an interpretation is crucial if one wants to bring a given Lagrangian into a canonical form with a minimal number of terms. We emphasize that the application of field transformations leads to a modification of the coefficients of higher-order terms as well as eliminating structures, or what is equivalent, expressing certain structures in terms of already known different structures. This will become relevant once one considers the problem of expressing in canonical form a model effective interaction containing terms beyond next-to-leading order, i.e., beyond {ital O}({ital p}{sup 4}). In such circumstances the naive application of the clasical equation of motion to simply drop terms, as is commonly done at lowest order, leads to subtle errors, which we discuss.