We investigate the dynamical breaking of local supersymmetry (supergravity), including the Deser-Zumino super-Higgs effect, via the corresponding one-loop effective potential for the simple but quite representative cases of N = 1, D = 4 simple supergravity and a (simplified) conformal version of it. We find solutions to the effective equations which indicate dynamical generation of a gravitino mass, thus breaking supergravity. In the case of conformal supergravity models, the gravitino mass can be much lower than the Planck scale, for global supersymmetry breaking scales below the Grand Unification scale. The absence of instabilities in the effective potential arising from the quantum fluctuations of the metric field is emphasised, contrary to previous claims in the literature.arXiv:1310.4122v1 [hep-th]

It is pointed out that models with condensates have nontrivial renormalization group flow on the tree level. The infinitesimal form of the tree level renormalization group equation is obtained and solved numerically for the φ 4 model in the symmetry broken phase. We find an attractive infrared fixed point that eliminates the metastable region and reproduces the Maxwell construction.We have two systematic nonperturbative methods to handle multi-particle or quantum systems, the saddle point approximation and the renormalization group. Our goal in this letter is to combine these two apparently independent approximation methods in order to obtain a better understanding of the instabilities and first order phase transitions.We start with the path integral,

† Deceased. We dedicate this paper to Giorgio's memory. We will strive to make this experiment a great success and a tribute to his memory. He will be sorely missed. AbstractThe MoEDAL experiment at Point 8 of the LHC ring is the seventh and newest LHC experiment. It is dedicated to the search for highly ionizing particle avatars of physics beyond the Standard Model, extending significantly the discovery horizon of the LHC. A MoEDAL discovery would have revolutionary implications for our fundamental understanding of the Microcosm. MoEDAL is an unconventional and largely passive LHC detector comprised of the largest array of Nuclear Track Detector stacks ever deployed at an accelerator, surrounding the intersection region at Point 8 on the LHC ring. Another novel feature is the use of paramagnetic trapping volumes to capture both electrically and magnetically charged highly-ionizing particles predicted in new physics scenarios. It includes an array of TimePix pixel devices for monitoring highly-ionizing particle backgrounds. The main passive elements of the MoEDAL detector do not require a trigger system, electronic readout, or online computerized data acquisition. The aim of this paper is to give an overview of the MoEDAL physics reach, which is largely complementary to the programs of the large multi-purpose LHC detectors ATLAS and CMS. project grant; the V-P Research Notes 1 Defined to be a convolution of the efficiency and acceptance 2 The concept of Dirac (magnetic) charge is presented in Section 5. 3 If |n| = 1, this is only true for magnetic charge coupled to 2 H(S = 1, |q| = 1/2), 8 Li(S = 2, |q| = 3/2) and 10 B(S = 3, |q| = 5/2). 4 The reader should notice that the two-loop processes of Fig. 28(b), which couple the IC gluons to the fermionic SM sector suffer, in addition to the loop suppression, an additional helicity suppression, as compared to the diagram of Fig, 28(a), and are therefore non-leading contributions.

Anti-Hermitian mass terms are considered, in addition to Hermitian ones, for PT -symmetric complexscalar and fermionic field theories. In both cases, the Lagrangian can be written in a manifestly symmetric form in terms of the PT -conjugate variables, allowing for an unambiguous definition of the equations of motion. After discussing the resulting constraints on the consistency of the variational procedure, we show that the invariance of a non-Hermitian Lagrangian under a continuous symmetry transformation does not imply the existence of a corresponding conserved current. Conserved currents exist, but these are associated with transformations under which the Lagrangian is not invariant and which reflect the well-known interpretation of PT -symmetric theories in terms of systems with gain and loss. A formal understanding of this unusual feature of non-Hermitian theories requires a careful treatment of Noether's theorem, and we give specific examples for illustration.

We demonstrate the extension to PT -symmetric field theories of the Goldstone theorem, confirming that the spontaneous appearance of a field vacuum expectation value via minimisation of the effective potential in a non-Hermitian model is accompanied by a massless scalar boson.Laying a basis for our analysis, we first show how the conventional quantisation of the path-integral formulation of quantum field theory can be extended consistently to a non-Hermitian model by considering PT conjugation instead of Hermitian conjugation. The extension of the Goldstone theorem to a PT -symmetric field theory is made possible by the existence of a conserved current that does not, however, correspond to a symmetry of the non-Hermitian Lagrangian. In addition to extending the proof of the Goldstone theorem to a PT -symmetric theory, we exhibit a specific example in which we verify the existence of a massless boson at the tree and one-loop levels.