The long - range interaction in massless ( λ Φ 4 ) 4 theory
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چکیده
Does massless (λΦ)4 theory exhibit spontaneous symmetry breaking (SSB)? The raw 1loop result implies that it does, but the “RG-improved” result implies the opposite. I argue that the appropriate “low-energy effective theory” is a nonlocal field theory involving an attractive, long-range interaction Φ2(x)Φ2(y)/z4, where z =|x−y |. RG improvement then requires running couplings for both this interaction and the original pointlike interaction. A crude calculation in this framework yields SSB even after “RG improvement” and closely agrees with the raw 1-loop result.
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تاریخ انتشار 2008