ѧ

ǰλ: ¾ >> Ѷ >> ѧ >>

ѧ

 Ͽѧ ׸սڣGeneralized Uncertainty Principle and Its Applications to the Cosmological Constant Problem and Black Hole Thermodynamics 2015-11-17 00:00   ˣ ĿGeneralized Uncertainty Principle and Its Applications to the Cosmological Constant Problem and Black Hole ThermodynamicsժҪWe propose an improved exponential Generalized Uncertainty Principle (GUP) by introducing a positive integer $n$ called the suppressing index. Due to the UV/IR mixing brought by the GUP, the states with momenta smaller than the critical momentum ($P < p_{\rm crit}$) are canceled by the states with momenta larger than the critical momentum ($p> P_{\rm Crit}$) and thus have no contributions to the energy density of the vacuum. By considering the contributions just from the states with momenta larger than the critical momentum ($P > P_{\rm Crit}$) and choosing a suitable suppressing index, $n \sim 10^{123}$, we calculate the cosmological constant consistent with the experimentally observed value. As a generalized uncertainty principle (GUP) leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. In the framework of this new GUP we calculate quantum corrections to the thermodynamic quantities of the Schwarzschild black hole, such as the Hawking temperature, the entropy, and the heat capacity, and give a remnant mass of the black hole at the end of the evaporation process. Moreover, we compare our results with that obtained in the frameworks of several other GUPs. In particular, we observe a significant difference between the situations with and without the consideration of the UV/IR mixing effect in the quantum corrections to the evaporation rate and the decay time. That is, the decay time can greatly be prolonged in the former case, which implies that the quantum correction from the UV/IR mixing effect may give rise to a radical rather than a tiny influence to the Hawking radiation. ʱ䣺2015121(ڶ)1000 ص㣺ɽУ1¥411 ˣ׸ ʿʦ ˸ſ׸գϿѧڣ19836±ҵݴѧѧϵרҵѧѧʿѧλ19929±ҵݴѧѧϵרҵѧʿѧλ199210-19948йѧѧѧϵʿ󣬳վʱȡøְʸ19949-199811Ŵѧѧϵθڣ199812-20032Ŵѧѧϵνڣ20048ϿѧѧԺνڡʿʦ199512-19971ºAmsterdamѧоѧߣ19998-200111µ¹Kaiserslauternѧѧϵɽ󡤷롤鱤ѧߣ¹鱤ѧ߳ƺţ20029-20048ձѧѧϵѧߡҪоѧеӳۡ(p-branes)⣬ог(p-branes)еĶżԳԡǽ淶ۡ淶۵ǢӻԼӷıķȣڹ淶ۡҺp-branesԼǽ淶ۺͳԳеĶżԳоҪעڶصۣرעʱշǶԶںڶͺڶѧ⡣JHEP, Phys. Lett. B, Phys. Rev. A & DȿϷSCI66ƪֺɹȻѧ4ʿ2 رմ

ϵַгϴ900 | ʱࣺ312000 | 绰0575-88341001

ȨУ¾ | ֧ţƼ