酉群上的幂级数恒等式与Bessel型积分
A power series identity and Bessel-type integrals over unitary groups
摘要：
在2008年，Lehner、Wettig、Guhr和Wei证明了一个幂级数恒等式，并证明了它隐含了酉超群上贝塞尔型积分的行列式公式。该积分是Bessel型积分在酉群上的超对称推广，在量子色动力学中表现为配分函数。通过将两边解释为相同的酉积分来证明恒等式，可以使用Cartan分解来计算。给出了Schur函数的一个等价恒等式，并作了概率解释.
英文摘要：
In 2008, Lehner, Wettig, Guhr and Wei conjectured a power series identity and showed that it implied a determinantal formula for a Bessel-type integral over the unitary supergroup. The integral is the supersymmetric extension of Bessel-type integrals over the unitary group appearing as partition functions in quantum chromodynamics. The identity is proved by interpreting both sides as the same unitary integral, which can be computed using the Cartan decomposition. An equivalent identity of Schur functions is also given and interpreted probabilistically.
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