景观的有效描述- I
An Effective Description of the Landscape - I
摘要：
我们研究在什么条件下大规模的领域可以被“冻结”，而不是整合出某些四维理论与全球或本地N=1超对称。我们着重于没有规范场的模型，其中包含W = W 0（H）+W1（H，L）形式的超势，其中W1 << 1，其中H和L示意性地表示重手征超场和轻手征超场。我们发现，如果场H近似对应于沿H方向的超对称解，则场H总是可以冻结为常数值H 0，而与H和L的Kahler势K的形式无关，只要K是充分正则的。在超重力中，为了保证H和L之间的质量等级，W 0在真空中必须是π阶的。由重场超对称破缺引起的反反应总是可以忽略的，从而导致F^H项被抑制。对于可因式分解的Kahler势，W 0可以是一般的。我们的结果暗示了复合物结构和声子模量稳定的常见方式，如Kachru等人在Phys.Rev.D68（2003）046005中所述，例如，如果W 0足够小，则其可靠性达到非常好的精度。
英文摘要：
We study under what conditions massive fields can be "frozen" rather than integrated out in certain four dimensional theories with global or local N=1 supersymmetry. We focus on models without gauge fields, admitting a superpotential of the form W = W0(H) + epsilon W1(H,L), with epsilon << 1, where H and L schematically denote the heavy and light chiral superfields. We find that the fields H can always be frozen to constant values H0, if they approximately correspond to supersymmetric solutions along the H directions, independently of the form of the Kahler potential K for H and L, provided K is sufficiently regular. In supergravity W0 is required to be of order epsilon at the vacuum to ensure a mass hierarchy between H and L. The backreaction induced by the breaking of supersymmetry on the heavy fields is always negligible, leading to suppressed F^H--terms. For factorizable Kahler potentials W0 can instead be generic. Our results imply that the common way complex structure and dilaton moduli are stabilized, as in Phys. Rev. D 68 (2003) 046005 by Kachru et al., for instance, is reliable to a very good accuracy, provided W0 is small enough.
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