We study an abelian Chern-Simons theory on a five-dimensional manifold with boundary, We find it ... more We study an abelian Chern-Simons theory on a five-dimensional manifold with boundary, We find it to be equivalent to a higher-derivative generalization of the abelian Wess-Zumino-Witten model on the boundary. It contains a U(1) current algebra with an operatorial extension.
A method is developed for demonstrating how solitons with some internal periodic motion may emerg... more A method is developed for demonstrating how solitons with some internal periodic motion may emerge as elementary excitations in the statistical mechanics of field systems. The procedure is demonstrated in the context of complex scalar fields which can, for ...
... Such ideas have been extended to other models in Eguehi's paper and more recently by Raj... more ... Such ideas have been extended to other models in Eguehi's paper and more recently by Rajasekaran and Srinivasan (1977, 1978). One of the models treated in the latter work is the Amati-Testa (1974) model ... This last step has used the fact that ) M-- gD' -~ --½ --~ q - to~ -- g~v, ...
Physical review. E, Statistical, nonlinear, and soft matter physics, 2001
The existence of attractions between like-charged colloids immersed in ionic solution has been di... more The existence of attractions between like-charged colloids immersed in ionic solution has been discovered in recent experiments. This phenomenon contradicts the predictions of Derjaguin-Landau-Verwey-Overbeek and indicates a failure of mean-field theory. We study a toy model based on a two-dimensional one-component plasma, which is exactly soluble at one particular coupling constant. We show that colloidal interaction results from a competition between ion-ion repulsion and longer ranged ion-void attraction.
In this paper we discuss bimeron pseudospin textures for double layer quantum Hall systems with f... more In this paper we discuss bimeron pseudospin textures for double layer quantum Hall systems with filling factor ν = 1. Bimerons are excitations corresponding to bound pairs of merons and anti-merons. Bimeron solutions have already been studied at great length by other groups by minimising the microsopic Hamiltonian between microscopic trial wavefunctions. Here we calculate them by numerically solving coupled nonlinear partial differential equations arising from extremisation of the effective action for pseudospin textures. We also calculate the different contributions to the energy of our bimerons, coming from pseudospin stiffness, capacitance and coulomb interactions between the merons. Apart from augmenting earlier results, this allows us to check how good an approximation it is to think of the bimeron as a pair of rigid objects (merons) with logarithmically growing energy and with electric charge 1/2. Our differential equation approach also allows us to study the dependence of the...
It is shown, in the composite fermion models studied by 't Hooft and others, that the requirement... more It is shown, in the composite fermion models studied by 't Hooft and others, that the requirements of Adler-Bell-Jackiw anomaly matching and n-independence are sufficient to fix the indices of composite representations. The third requirement, namely that of decoupling relations, follows from these two constraints in such models and hence is inessential. Starting with the work of 't Hooft [1], a body of papers (for a representative sample see refs. [2-9]) have been written in the last two years, devoted to seeking constraints on composite models of spin-l/2 particles made up of confined massless spin-l/2 constituents. While these results are applicable to some baryons considered as quark bound states, they take on added importance with the emergence of models where the quarks themselves are viewed as bound states of more basic fermionic constituents (preons). These papers examine composite models to see if they yield a consistent set of indices for their bound-state flavour representations. The index of a flavour representation is defined as the number of times it occurs with left chirality minus the number with right chirality. Constraints on the values of these indices in any given model are obtained using the following three requirements [1 ]: (i) Flavour ABJ anomaly matching at the preon and composite levels. (ii) n-independence of these indices, where n characterises the flavour group. (iii) Decoupling conditions, i.e. relations among the indices obtained by imposing the Appelquist-Carrazone (AC) decoupling theorem [10]. In his pioneering work, 't Hooft [1] has studied SU(3) and SU(5) metacolour models with left-right symmetric flavour content, SUL(n) ® SUR(n) ® UV(1).
We obtain new conserved and Lorentz covarlant non-local currents of the sine-Gordon system by tre... more We obtain new conserved and Lorentz covarlant non-local currents of the sine-Gordon system by treating th~s mtegrable, offconformal system m the tra&tional canomcal quantlsatmn scheme Our work and our currents are to be contrasted with those of Bernard and LeCla~r who employ Zamolodchlkov's method, couched in the conformal perturbatmn theoretic framework, to obtain conserved currents [
We study chiral vertex operators in the sine-Gordon [SG] theory, viewed as an off-conformal syste... more We study chiral vertex operators in the sine-Gordon [SG] theory, viewed as an off-conformal system. We find that these operators, which would have been primary fields in the conformal limit, have interesting and, in some ways, unexpected properties in the SG model. Some of them continue to have scale-invariant dynamics even in the presence of the non-conformal cosine interaction. For instance, it is shown that the Mandelstam operator for the bosonic representation of the Fermi field does not develop a mass term in the SG theory, contrary to what the real Fermi field in the massive Thirring model is expected to do. It is also shown that in the presence of the non-conformal interactions, some vertex operators have unique Lorentz spins, while others do not.
We suggest here the presence of a J=0 fixed pole in the virtual Compton amplitude A2 with a resid... more We suggest here the presence of a J=0 fixed pole in the virtual Compton amplitude A2 with a residue linear in the photon mass q2 for all q2. The resultant sum rule is found to be consistent with the on-mass-shell (q2=0) data, the scale-invariance requirement at q2-->∞, and the electron scattering data for intermediate q2.
We study an abelian Chern-Simons theory on a five-dimensional manifold with boundary, We find it ... more We study an abelian Chern-Simons theory on a five-dimensional manifold with boundary, We find it to be equivalent to a higher-derivative generalization of the abelian Wess-Zumino-Witten model on the boundary. It contains a U(1) current algebra with an operatorial extension.
A method is developed for demonstrating how solitons with some internal periodic motion may emerg... more A method is developed for demonstrating how solitons with some internal periodic motion may emerge as elementary excitations in the statistical mechanics of field systems. The procedure is demonstrated in the context of complex scalar fields which can, for ...
... Such ideas have been extended to other models in Eguehi's paper and more recently by Raj... more ... Such ideas have been extended to other models in Eguehi's paper and more recently by Rajasekaran and Srinivasan (1977, 1978). One of the models treated in the latter work is the Amati-Testa (1974) model ... This last step has used the fact that ) M-- gD' -~ --½ --~ q - to~ -- g~v, ...
Physical review. E, Statistical, nonlinear, and soft matter physics, 2001
The existence of attractions between like-charged colloids immersed in ionic solution has been di... more The existence of attractions between like-charged colloids immersed in ionic solution has been discovered in recent experiments. This phenomenon contradicts the predictions of Derjaguin-Landau-Verwey-Overbeek and indicates a failure of mean-field theory. We study a toy model based on a two-dimensional one-component plasma, which is exactly soluble at one particular coupling constant. We show that colloidal interaction results from a competition between ion-ion repulsion and longer ranged ion-void attraction.
In this paper we discuss bimeron pseudospin textures for double layer quantum Hall systems with f... more In this paper we discuss bimeron pseudospin textures for double layer quantum Hall systems with filling factor ν = 1. Bimerons are excitations corresponding to bound pairs of merons and anti-merons. Bimeron solutions have already been studied at great length by other groups by minimising the microsopic Hamiltonian between microscopic trial wavefunctions. Here we calculate them by numerically solving coupled nonlinear partial differential equations arising from extremisation of the effective action for pseudospin textures. We also calculate the different contributions to the energy of our bimerons, coming from pseudospin stiffness, capacitance and coulomb interactions between the merons. Apart from augmenting earlier results, this allows us to check how good an approximation it is to think of the bimeron as a pair of rigid objects (merons) with logarithmically growing energy and with electric charge 1/2. Our differential equation approach also allows us to study the dependence of the...
It is shown, in the composite fermion models studied by 't Hooft and others, that the requirement... more It is shown, in the composite fermion models studied by 't Hooft and others, that the requirements of Adler-Bell-Jackiw anomaly matching and n-independence are sufficient to fix the indices of composite representations. The third requirement, namely that of decoupling relations, follows from these two constraints in such models and hence is inessential. Starting with the work of 't Hooft [1], a body of papers (for a representative sample see refs. [2-9]) have been written in the last two years, devoted to seeking constraints on composite models of spin-l/2 particles made up of confined massless spin-l/2 constituents. While these results are applicable to some baryons considered as quark bound states, they take on added importance with the emergence of models where the quarks themselves are viewed as bound states of more basic fermionic constituents (preons). These papers examine composite models to see if they yield a consistent set of indices for their bound-state flavour representations. The index of a flavour representation is defined as the number of times it occurs with left chirality minus the number with right chirality. Constraints on the values of these indices in any given model are obtained using the following three requirements [1 ]: (i) Flavour ABJ anomaly matching at the preon and composite levels. (ii) n-independence of these indices, where n characterises the flavour group. (iii) Decoupling conditions, i.e. relations among the indices obtained by imposing the Appelquist-Carrazone (AC) decoupling theorem [10]. In his pioneering work, 't Hooft [1] has studied SU(3) and SU(5) metacolour models with left-right symmetric flavour content, SUL(n) ® SUR(n) ® UV(1).
We obtain new conserved and Lorentz covarlant non-local currents of the sine-Gordon system by tre... more We obtain new conserved and Lorentz covarlant non-local currents of the sine-Gordon system by treating th~s mtegrable, offconformal system m the tra&tional canomcal quantlsatmn scheme Our work and our currents are to be contrasted with those of Bernard and LeCla~r who employ Zamolodchlkov's method, couched in the conformal perturbatmn theoretic framework, to obtain conserved currents [
We study chiral vertex operators in the sine-Gordon [SG] theory, viewed as an off-conformal syste... more We study chiral vertex operators in the sine-Gordon [SG] theory, viewed as an off-conformal system. We find that these operators, which would have been primary fields in the conformal limit, have interesting and, in some ways, unexpected properties in the SG model. Some of them continue to have scale-invariant dynamics even in the presence of the non-conformal cosine interaction. For instance, it is shown that the Mandelstam operator for the bosonic representation of the Fermi field does not develop a mass term in the SG theory, contrary to what the real Fermi field in the massive Thirring model is expected to do. It is also shown that in the presence of the non-conformal interactions, some vertex operators have unique Lorentz spins, while others do not.
We suggest here the presence of a J=0 fixed pole in the virtual Compton amplitude A2 with a resid... more We suggest here the presence of a J=0 fixed pole in the virtual Compton amplitude A2 with a residue linear in the photon mass q2 for all q2. The resultant sum rule is found to be consistent with the on-mass-shell (q2=0) data, the scale-invariance requirement at q2-->∞, and the electron scattering data for intermediate q2.
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Papers by R Rajaraman