• Attractive forces between electrons in (2+1) - dimensional QED 

      Girotti, Horacio Oscar; Gomes, Marcelo; Lyra, J.L. de; Mendes, R.S.; Nascimento, J.R.S.; Silva, Adilson J. da (1992) [Artigo de periódico]
      Vacuum polarization effects are nonperturbatively incorporated into the photon propagator to eliminate the severe infrared problems characteristic of (2+1)-dimensional QED (QED₃). The theory is thus rephrased in terms of ...
    • Chiral bosonization 

      Girotti, Horacio Oscar; Gomes, Marcelo; Rivelles, Victor O.; Silva, Adilson J. da; Kurak, V. (1988) [Artigo de periódico]
      We show that the Dirac-bracket quantization of a single self-dual field leads naturally to the bosonization formulas. We find a numerical parameter describing the soliton charge and unveiling hidden soliton sectors.
    • Chiral bosons through linear constraints 

      Girotti, Horacio Oscar; Gomes, Marcelo; Rivelles, Victor O. (1992) [Artigo de periódico]
      We study in detail the quantization of a model which apparently describes chiral bosons. The model is based on the idea that the chiral condition could be implemented through a linear constraint. We show that the space of ...
    • A consistent noncommutative field theory : the Wess-Zumino model 

      Girotti, Horacio Oscar; Gomes, Marcelo; Rivelles, Victor O.; Silva, Adilson J. da (2000) [Artigo de periódico]
      We show that the noncommutative Wess–Zumino model is renormalizable to all orders of perturbation theory. The noncommutative scalar potential by itself is non-renormalizable but the Yukawa terms demanded by supersymmetry ...
    • Coupling of fermions to the three-dimensional noncommutative CP/sup N-1/ model : minimal and supersymmetric extensions 

      Asano, E.A.; Gomes, Marcelo; Girotti, Horacio Oscar; Silva, Adilson J. da; Rodrigues, A.G.; Petrov, Albert Yu. (2004) [Artigo de periódico]
      We consider the coupling of fermions to the three-dimensional noncommutative CPN21 model. In the case of minimal coupling, although the infrared behavior of the gauge sector is improved, there are dangerous ~quadratic! ...
    • Duality symmetry in the schwarz-sen model 

      Girotti, Horacio Oscar; Gomes, Marcelo; Rivelles, Victor O.; Silva, Adilson J. da (1997) [Artigo de periódico]
      The continuous extension of the discrete duality symmetry of the Schwarz-Sen model is studied. The corresponding infinitesimal generator Q turns out to be local, gauge invariant, and metric independent. Furthermore, Q ...
    • Lorentz symmetry breaking in the noncommutative Wess-Zumino model : one loop corrections 

      Ferrari, Alysson Fábio; Gomes, Marcelo; Girotti, Horacio Oscar (2006) [Artigo de periódico]
      In this paper we deal with the issue of Lorentz symmetry breaking in quantum field theories formulated in a noncommutative space-time. We show that, unlike in some recent analysis of quantum gravity effects, supersymmetry ...
    • Low energy limit of the chern-simons theory coupled to fermions 

      Girotti, Horacio Oscar; Gomes, Marcelo; Nascimento, J.R.S.; Silva, Adilson J. da (1997) [Artigo de periódico]
      We study the nonrelativistic limit of the theory of a quantum Chern-Simons field minimally coupled to Dirac fermions. To get the nonrelativistic effective Lagrangian one has to incorporate vacuum polarization and anomalous ...
    • On the consistency of the three-dimensional noncommutative supersymmetric Yang-Mlls theory 

      Ferrari, Alysson Fábio; Girotti, Horacio Oscar; Gomes, Marcelo; Petrov, Albert Yu.; Ribeiro, Anderson Andre Genro Alves; Silva, Adilson J. da (2004) [Artigo de periódico]
      We study the one-loop quantum corrections to the U(N) noncommutative supersymmetric Yang–Mills theory in three spacetime dimensions (NCSYM3). We show that the cancellation of the dangerous UV/IR infrared divergences only ...
    • On the finiteness of noncommutative supersymmetric QED/sub 3/ in the covariant superfield formulation 

      Ferrari, Alysson Fábio; Girotti, Horacio Oscar; Gomes, Marcelo; Petrov, Albert Yu.; Ribeiro, Anderson Andre Genro Alves; Silva, Adilson J. da (2003) [Artigo de periódico]
      The three-dimensional noncommutative supersymmetric QED is investigated within the superfield approach. We prove the absence of UV/IR mixing in the theory at any loop order and demonstrate its one-loop finiteness.
    • Reply to comment on "attractive forces bertween electrons in (2+1) - dimensional-qed" 

      Girotti, Horacio Oscar; Gomes, Marcelo; Mendes, R.S.; Lyra, J.L. de; Nascimento, J.R.S.; Silva, Adilson J. da (1993) [Artigo de periódico]
    • Self-dual fields and causality 

      Girotti, Horacio Oscar; Gomes, Marcelo; Rivelles, Victor O.; Silva, Adilson J. da (1989) [Artigo de periódico]
      Causality aspects of two-dimensional self-dual fields are considered. We prove that there is no causal propagation for dimensionless self-dual fields whose Lagrangian does not contain dimensional parameters. It is shown ...
    • Spontaneous symmetry breaking in noncommutative field theories 

      Girotti, Horacio Oscar; Gomes, Marcelo; Petrov, Albert Yu.; Rivelles, Victor O.; Silva, Adilson J. da (2003) [Artigo de periódico]
      The spontaneous symmetry breaking of rotational O(N) symmetry in noncommutative field theory is investigated in a 2+1 dimensional model of scalar fields coupled through a combination of quartic and sextuple self-interactions. ...
    • Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED/sub 4/ 

      Ferrari, Alysson Fábio; Girotti, Horacio Oscar; Gomes, Marcelo; Petrov, Albert Yu.; Ribeiro, Anderson Andre Genro Alves; Rivelles, Victor O.; Silva, Adilson J. da (2004) [Artigo de periódico]
      Commutative supersymmetric Yang-Mills is known to be renormalizable for N51,2, while finite for N 54. However, in the noncommutative version of the model (NCSQED4) the UV-IR mechanism gives rise to infrared divergences ...
    • The fermion-fermion effective potential in the maxwell-chern-simons theory 

      Girotti, Horacio Oscar; Gomes, Marcelo; Silva, Adilson J. da (1992) [Artigo de periódico]
      The effective nonrelativistic potential VT describing the fermion-fermion interaction in the Maxwell-Chern-Simons theory is derived to the lowest order in perturbation theory. As expected, VT is not invariant under parity ...
    • The low energy limit of the non-commutative Wess-Zumino model 

      Girotti, Horacio Oscar; Gomes, Marcelo; Rivelles, Victor O.; Silva, Adilson J. da; Petrov, Albert Yu. (2002) [Artigo de periódico]
      The non-commutative Wess-Zumino model is used as a prototype for studying the low energy behavior of a renormalizable non-commutative field theory. We start by deriving the potentials mediating the fermion-fermion and ...
    • The three-dimensional noncommutative nonlinear sigma model in superspace 

      Girotti, Horacio Oscar; Gomes, Marcelo; Petrov, Albert Yu.; Rivelles, Victor O.; Silva, Adilson J. da (2001) [Artigo de periódico]
      We study the superspace formulation of the noncommutative nonlinear supersymmetric O(N) invariant sigma-model in 2+1 dimensions.We prove that the model is renormalizable to all orders of 1/N and explicitly verify that the ...
    • Towards a consistent noncommutative supersymmetric Yang-Mills theory : superfield covariant analysis 

      Ferrari, Alysson Fábio; Girotti, Horacio Oscar; Gomes, Marcelo; Petrov, Albert Yu.; Ribeiro, Anderson Andre Genro Alves; Rivelles, Victor O.; Silva, Adilson J. da (2004) [Artigo de periódico]
      Commutative four dimensional supersymmetric Yang-Mills (SYM) theory is known to be renormalizable for N=1,2, and finite for N=4. However, in the noncommutative version of the model the UV/IR mechanism gives rise to infrared ...