TY - JOUR
T1 - Domain walls in supersymmetric Yang-Mills theories
AU - Kaplunovsky, Vadim S.
AU - Sonnenschein, Jacob
AU - Yankielowicz, Shimon
N1 - Funding Information:
Domain walls interpolating between degenerate discrete vacua have been a subject of a rather intensive study in recent years \[ 1-9\]. In particular, an A/" = 1 supersymmetric SU(Nc) Yang-Mills theory has a non-anomalous Z2/vc chiral symmetry which is spontaneously broken down to the Z2 by the expectation value of the gaugino bilinear * Research supported in part by the US-Israeli Binational Science Foundation, the US National Science Foundation (V.K., grant #PHY-95-11632), the Robert A. Welsh Foundation (V.K.).
PY - 1999/7/12
Y1 - 1999/7/12
N2 - We study BPS-saturated domain walls in the supersymmetric SU (2) gauge theory. For a theory with a very light adjoint scalar (mass m ≲ Λ/400) we use the perturbed script N = 2 Seiberg- Witten theory to calculate the actual field configuration of the domain wall. The wall has a sandwich-like five-layer structure of three distinct phases-electric confinement, Coulomb and oblique confinement - separated by two separate transition regions. For larger scalar masses, the three-phase structure disappears and the Seiberg-Witten theory becomes inadequate because of two major problems: First, the higher-derivative interactions between the light fields become relevant and second, both the magnetic monopole condensate and the dyon condensate show up in the same region of space, a phenomenon indescribable in terms of a local field theory. Nevertheless, we argue that the BPS-saturated domain wall continues to exist in this regime and give a qualitative description of the scalar and gaugino condensates. Finally, we discuss the domain walls in MQCD and translate the BPS conditions into coupled non-linear differential equations.
AB - We study BPS-saturated domain walls in the supersymmetric SU (2) gauge theory. For a theory with a very light adjoint scalar (mass m ≲ Λ/400) we use the perturbed script N = 2 Seiberg- Witten theory to calculate the actual field configuration of the domain wall. The wall has a sandwich-like five-layer structure of three distinct phases-electric confinement, Coulomb and oblique confinement - separated by two separate transition regions. For larger scalar masses, the three-phase structure disappears and the Seiberg-Witten theory becomes inadequate because of two major problems: First, the higher-derivative interactions between the light fields become relevant and second, both the magnetic monopole condensate and the dyon condensate show up in the same region of space, a phenomenon indescribable in terms of a local field theory. Nevertheless, we argue that the BPS-saturated domain wall continues to exist in this regime and give a qualitative description of the scalar and gaugino condensates. Finally, we discuss the domain walls in MQCD and translate the BPS conditions into coupled non-linear differential equations.
UR - http://www.scopus.com/inward/record.url?scp=0033549457&partnerID=8YFLogxK
U2 - 10.1016/S0550-3213(99)00203-5
DO - 10.1016/S0550-3213(99)00203-5
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AN - SCOPUS:0033549457
SN - 0550-3213
VL - 552
SP - 209
EP - 245
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 1-2
ER -