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The radiation at collision of high-energy particles is formed over a ratherlong distances and therefore is sensitive to an environment. In particular thesmallness of the transverse dimensions of the colliding beams leads tosuppression of bremsstrahlung cross section for soft photons. This beam-sizeeffect was discovered and investigated at INP, Novosibirsk around 1980. At thattime an incomplete expression for the bremsstrahlung spectrum was calculatedand used because a subtraction associated with the extraction of purefluctuation process was not performed. Here this procedure is done. Thecomplete expression for the spectral-angular distribution of incoherentbremsstrahlung probability is obtained. The case of Gaussian colliding beams isinvestigated in details. In the case of flat beams the expressions for thebremsstrahlung spectrum are simplified essentially. Comparison of theory withVEPP4 and HERA data is performed. Possible application of the effect to linear$e^+e^-$ collider tuning is discussed.Comment: 23 pagers,5 figure

Deviation from standard QED at large distances: Influence of transverse dimensions of colliding beams on bremsstrahlung