p-adic弦的热对偶与Hagedorn跃迁
Thermal Duality and Hagedorn Transition from p-adic Strings
摘要：
我们发展了p-adic弦模型的有限温度理论。我们发现，这些非局部场论的热性质可以解释为标准的热模式的贡献与温度成正比的能量，或逆热模式的能量与温度的倒数成正比，导致“热对偶性”在领先的顺序（亏格一）类似于众所周知的T-对偶性的弦论。p-adic弦也恢复了纯弦计算所得到的任意亏格的渐近极限（高温和低温）。我们还讨论了我们的研究结果周围的性质Hagedorn过渡。
英文摘要：
We develop the finite temperature theory of p-adic string models. We find that the thermal properties of these non-local field theories can be interpreted either as contributions of standard thermal modes with energies proportional to the temperature, or inverse thermal modes with energies proportional to the inverse of the temperature, leading to a "thermal duality" at leading order (genus one) analogous to the well known T-duality of string theory. The p-adic strings also recover the asymptotic limits (high and low temperature) for arbitrary genus that purely stringy calculations have yielded. We also discuss our findings surrounding the nature of the Hagedorn transition.
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