论文标题

定义明确的量子孤子质量,没有超对称性

Well-Defined Quantum Soliton Masses Without Supersymmetry

论文作者

Evslin, Jarah

论文摘要

22年前,Rebhan和van Nieuwenhuizen表明,对量子巨人的质量校正取决于真空和一索尔顿部门汉密尔顿人的调节器的匹配条件的选择。在超对称理论中,保留超对称的调节剂会产生正确的量子校正,因为这些校正是由超对称性决定的。但是,在一般理论中,尚不清楚哪种匹配条件会产生正确的质量。我们在操作员中使用的主术语创建孤子来从真空扇区的唯一构建受监管的一soliton部门汉密尔顿,从而提供了正确的匹配条件。作为一种应用,我们为在1+1维标量场理论中的一类扭结的一环质量得出一个简单的公式,并且在一个循环中,我们将描述扭结激发的汉密尔顿式对角线化。

22 years ago, Rebhan and van Nieuwenhuizen showed that loop corrections to the mass of a quantum soliton depend on a choice of matching condition for the regulators of the vacuum and one-soliton sector Hamiltonians. In supersymmetric theories, regulators which preserve supersymmetry yield the correct quantum corrections, as these are dictated by supersymmetry. However, in a general theory it is not known which matching condition yields the correct mass. We use the leading term in the operator that creates the soliton to construct the regulated one-soliton sector Hamiltonian from that of the vacuum sector, providing the correct matching condition. As an application, we derive a simple formula for the one-loop mass of a kink in a large class of 1+1 dimensional scalar field theories and also, at one loop, we diagonalize the Hamiltonian which describes the kink excitations.

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