Vector Effective Field Theories from Soft Limits

Journal Article · 29 June 2018 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.120.261602 · OSTI ID:1457810

Cheung, Clifford ^[1]; Kampf, Karol ^[2]; Novotny, Jiri ^[2]; Shen, Chia -Hsien ^[3]; Trnka, Jaroslav ^[4]; Wen, Congkao ^[1]

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1. California Inst. of Technology (CalTech), Pasadena, CA (United States)
2. Charles Univ., Prague (Czech Republic)
3. Univ. of California, Los Angeles, CA (United States)
4. Univ. of California, Davis, CA (United States); Charles Univ., Prague (Czech Republic)

Here, we present a bottom-up construction of vector effective field theories using the infrared structure of scattering amplitudes. Our results employ two distinct probes of soft kinematics: multiple soft limits and single soft limits after dimensional reduction applicable in four and general dimensions, respectively. Both approaches uniquely specify the Born-Infeld (BI) model as the only theory of vectors completely fixed by certain infrared conditions which generalize the Adler zero for pions. These soft properties imply new recursion relations for on-shell scattering amplitudes in BI theory and suggest the existence of a wider class of vector effective field theories.

• Research Organization: Univ. of California, Davis, CA (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC); USDOE
• Grant/Contract Number: SC0009999; SC0010255; GACR 18-17224S; LTAUSA17069
• OSTI ID: 1457810
• Alternate ID(s): OSTI ID: 1502083
• Journal Information: Physical Review Letters, Vol. 120, Issue 26; ISSN 0031-9007
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English