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

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0033549457

SN - 0550-3213

VL - 552

SP - 209

EP - 245

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -