Register to reply

Supersymmetry O'Raifeartaigh model negative fermionic masses

Share this thread:
Jan27-08, 12:40 PM
P: 4

I calculated a basic O'Raifeartaigh model, using the following potential
[tex] f = \lambda Y_1 (X^2 - M^2) + \mu Y_2 X [/tex], where [tex]Y_1[/tex], [tex]Y_2[/tex] and [tex]X[/tex] are chiral superfields. Assuming that the vacuum expectation value of [tex]y_1[/tex] is zero (where [tex]y_1[/tex] is the scalar component of [tex]Y_1[/tex]), I get a fermionic mass matrix like
\left(\begin{array}{ccc}0 & 0 & 0 \\0 & 0 & \mu \\0 & \mu &0\end{array}\right)[/tex].

My problem is that the eigenvalues of this fermionic mass matrix are [tex]\mu[/tex] and [tex]-\mu[/tex], and I dont understand the later. Why do I get a negative mass and how can I interpet it?

Phys.Org News Partner Physics news on
Step lightly: All-optical transistor triggered by single photon promises advances in quantum applications
The unifying framework of symmetry reveals properties of a broad range of physical systems
What time is it in the universe?

Register to reply

Related Discussions
Entropy of fermionic Gas. Advanced Physics Homework 6
K.p theory model & Heavy-hole effective masses in strained QWs Atomic, Solid State, Comp. Physics 6
Fermionic condensate Atomic, Solid State, Comp. Physics 5
Fermionic Condensate Quantum Physics 3