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arXiv 0905.1360hep-ph
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(3+1)维QED中的反反应和粒子产生

Backreaction and Particle Production in (3+1)-dimensional QED

Bogdan Mihaila, Fred Cooper, John F. Dawson

摘要:

我们研究了(3+1)维空间中增强不变坐标系下强电场中费米子对的产生,并利用了问题的柱对称性。这个问题以前曾被用作填充重离子碰撞中心快度区域的玩具模型(当我们可以用色电场代替电场时)。当场仅为流体固有时间$τ= \sqrt{t^2-z^2}$的函数时,我们导出并求解了所产生粒子的平均电场和电流的动力学的重整化方程。我们确定了等离子体的共动能量密度和压力随时间的演化以及合适的插值数算子随时间的演化。我们发现,与(1+1)维不同,能量密度紧密地跟随纵向压力。在大动量时,费米子对的横动量分布与常场结果相比有很大的不同,而且比常场结果所预期的要大。

英文摘要:

We study the fermion pair production from a strong electric field in boost-invariant coordinates in (3+1) dimensions and exploit the cylindrical symmetry of the problem. This problem has been used previously as a toy model for populating the central-rapidity region of a heavy-ion collision (when we can replace the electric by a chromoelectric field). We derive and solve the renormalized equations for the dynamics of the mean electric field and current of the produced particles, when the field is taken to be a function only of the fluid proper time $τ= \sqrt{t^2-z^2}$. We determine the proper-time evolution of the comoving energy density and pressure of the ensuing plasma and the time evolution of suitable interpolating number operators. We find that unlike in (1+1) dimensions, the energy density closely follows the longitudinal pressure. The transverse momentum distribution of fermion pairs at large momentum is quite different and larger than that expected from the constant field result.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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