Reparameterisation invariance constraints on heavy particle effective field theories
Reparameterisation invariance constraints on heavy particle effective field theories
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DOI：
10.1016/0370-2693(92)91786-9
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发表时间：
1992-05
影响因子：
4.4
通讯作者：
M. Luke;A. Manohar
中科院分区：
文献类型：
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作者：
M. Luke;A. Manohar
由于重夸克有效理论中的场是由速度和剩余动量描述的，因此理论中存在冗余：速度的微小变化可能被吸收到剩余动量的重新定义中。我们证明，这种平凡的reparameterisation不变性有非平凡的后果：它涉及系数的条款不同的订单在1米的扩展，并要求这些运营商的线性组合乘法重新正规化。例如，有效拉格朗日量中的算子− 22 m的反常维数为零，系数为1，并且不接受任何来自匹配条件的非微扰贡献。我们还表明，这种不变性严重限制了运营商的形式，可能会出现在手征拉格朗日重粒子。
Since fields in the heavy quark effective theory are described by both a velocity and a residual momentum, there is redundancy in the theory: small shifts in velocity may be absorbed into a redefinition of the residual momentum. We demonstrate that this trivial reparameterisation invariance has non-trivial consequences: it relates coefficients of terms of different orders in the 1 m expansion and requires linear combinations of these operators to be multiplicatively renormalised. For example, the operator −22m in the effective lagrangian has zero anomalous dimension, coefficient one, and does not receive any non-perturbative contributions from matching conditions. We also demonstrate that this invariance severely restricts the forms of operators which may appear in chiral lagrangians for heavy particles.