INTERACTIONS AND SCATTERING IN d = 1 STRING THEORY
INTERACTIONS AND SCATTERING IN d = 1 STRING THEORY
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d = 1 弦理论中的相互作用和散射
DOI：
10.1142/s0217732391001585
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发表时间：
1991
影响因子：
1.4
通讯作者：
S. Wadia
中科院分区：
文献类型：
--
作者：
G. Mandal;Anirvan M. Sengupta;S. Wadia
我们讨论两个结果：（i）计算了d = 1弦理论的费米子表述中密度涨落的两点函数，并与候选集体场哈密顿量的结果进行了比较。后一个结果是分歧的，显示了两个理论的不等价性。我们找出了集体场哈密顿量的修正（以无限反项和附加有限项的形式），需要与费米子理论相匹配。(ii)我们研究了由于边界附近（有序区域）的局域相互作用引起的玻色子之间的树级散射过程。在边界处的反射问题被视为由解析延续的飞行时间变量。
We discuss two results: (i) we calculate the two-point function of the density fluctuations to in the fermonic formulation of the d = 1 string theory and compare with the result from the candidate collective field Hamiltonian. The latter result is divergent, showing the inequivalence of the two theories. We find out the corrections to the collective field Hamiltonian (both in the form of infinite counterterms and additional finite pieces) needed to match with the fermion theory. (ii) We study tree-level scattering processes between bosons due to the localized interaction near the boundary (in a region of order ). The reflection problem at the boundary is treated by an analytic continuation of the time-of-flight variable.