Journal
MODERN PHYSICS LETTERS A
Volume 27, Issue 5, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217732312500290
Keywords
Scale invariance; conformal invariance; a-theorem
Categories
Funding
- World Premier International Research Center Initiative of MEXT of Japan
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The derivation of the a-theorem recently proposed by Komargodski and Schwimmer relies on the c-conjecture that demands decoupling of dilaton from the rest of the infrared theory. We point out that the decoupling, if true, provides a strong evidence for the equivalence between scale invariance and conformal invariance in four dimensions. Thus, a complete proof of the a-theorem along the line of their argument in the most generic scenario would establish the equivalence between scale invariance and conformal invariance, which is another long-standing conjecture in four-dimensional quantum field theories.
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