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irreps.py
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#!/usr/bin/env python
import logging
import argparse
from collections import namedtuple
import particle_operators
from subductions import subductions
properties = namedtuple('particleproperties', ['I', 'P', 'G', "spin"])
names = {}
# mesonnames
names["pi"] = properties(1, -1, -1, 0)
names["pi1"] = properties(1, -1, -1, 1)
names["pi2"] = properties(1, -1, -1, 2)
names["a0"] = properties(1, 1, -1, 0)
names["a1"] = properties(1, 1, -1, 1)
names["a2"] = properties(1, 1, -1, 2)
names["rho"] = properties(1, -1, 1, 1)
names["rho3"] = properties(1, -1, 1, 3)
names["b1"] = properties(1, 1, 1, 1)
names["h1"] = properties(0, 1, -1, 1)
names["omega"] = properties(0, -1, -1, 1)
names["omega3"] = properties(0, -1, -1, 3)
names["f0"] = properties(0, 1, 1, 0)
names["f1"] = properties(0, 1, 1, 1)
names["f2"] = properties(0, 1, 1, 2)
names["f2prime"] = properties(0, 1, 1, 2)
names["eta"] = properties(0, -1, 1, 0)
names["etaprime"] = properties(0, -1, 1, 0)
names["eta2"] = properties(0, -1, 1, 2)
names["phi"] = properties(0, -1, -1, 1)
names["phi3"] = properties(0, -1, -1, 3)
names["K"] = properties("1/2", -1, None, 0)
names["KB"] = properties("1/2", -1, None, 0)
names["Kstar"] = properties("1/2", -1, None, 1)
names["KBstar"] = properties("1/2", -1, None, 1)
names["K1"] = properties("1/2", 1, None, 1)
names["KB1"] = properties("1/2", 1, None, 1)
names["K2"] = properties("1/2", -1, None, 2)
names["K2star"] = properties("1/2", 1, None, 2)
names["K3star"] = properties("1/2", 1, None, 3)
names["K0star"] = properties("1/2", 1, None, 0)
# Baryon names ['I', 'P', 'G', "spin"]
names_baryons = {}
# Baryons have different properties for excited versions
names_baryons["N"] = properties("1/2", 1, None, "1/2")
names_baryons["N-1440"] = properties("1/2", 1, None, "1/2")
names_baryons["N-1520"] = properties("1/2", -1, None, "3/2")
names_baryons["N-1535"] = properties("1/2", -1, None, "1/2")
names_baryons["N-1650"] = properties("1/2", -1, None, "1/2")
names_baryons["N-1675"] = properties("1/2", -1, None, "5/2")
names_baryons["N-1680"] = properties("1/2", 1, None, "5/2")
names_baryons["N-1700"] = properties("1/2", -1, None, "3/2")
names_baryons["N-1710"] = properties("1/2", 1, None, "1/2")
names_baryons["N-1720"] = properties("1/2", 1, None, "3/2")
names_baryons["N-1860"] = properties("1/2", 1, None, "5/2")
names_baryons["N-1875"] = properties("1/2", -1, None, "3/2")
names_baryons["N-1880"] = properties("1/2", 1, None, "1/2")
names_baryons["N-1895"] = properties("1/2", -1, None, "1/2")
names_baryons["N-1900"] = properties("1/2", 1, None, "3/2")
names_baryons["N-1990"] = properties("1/2", 1, None, "7/2")
names_baryons["N-2000"] = properties("1/2", 1, None, "5/2")
names_baryons["N-2040"] = properties("1/2", 1, None, "3/2")
names_baryons["N-2060"] = properties("1/2", -1, None, "5/2")
names_baryons["N-2100"] = properties("1/2", 1, None, "1/2")
names_baryons["N-2120"] = properties("1/2", -1, None, "3/2")
names_baryons["N-2190"] = properties("1/2", -1, None, "7/2")
names_baryons["N-2220"] = properties("1/2", 1, None, "9/2")
names_baryons["N-2250"] = properties("1/2", -1, None, "9/2")
names_baryons["N-2300"] = properties("1/2", 1, None, "1/2")
names_baryons["N-2570"] = properties("1/2", -1, None, "5/2")
names_baryons["N-2600"] = properties("1/2", -1, None, "11/2")
names_baryons["N-2700"] = properties("1/2", 1, None, "13/2")
# properties of lambdas
names_baryons["Lambda"] = properties(0, 1, None, "1/2")
names_baryons["Lambda-1405"] = properties(0, -1, None, "1/2")
names_baryons["Lambda-1520"] = properties(0, -1, None, "3/2")
names_baryons["Lambda-1600"] = properties(0, 1, None, "1/2")
names_baryons["Lambda-1670"] = properties(0, -1, None, "1/2")
names_baryons["Lambda-1690"] = properties(0, -1, None, "3/2")
names_baryons["Lambda-1800"] = properties(0, -1, None, "1/2")
names_baryons["Lambda-1810"] = properties(0, 1, None, "1/2")
names_baryons["Lambda-1820"] = properties(0, 1, None, "5/2")
names_baryons["Lambda-1830"] = properties(0, -1, None, "5/2")
names_baryons["Lambda-1890"] = properties(0, 1, None, "3/2")
names_baryons["Lambda-2020"] = properties(0, 1, None, "7/2")
names_baryons["Lambda-2100"] = properties(0, -1, None, "7/2")
names_baryons["Lambda-2110"] = properties(0, 1, None, "5/2")
names_baryons["Lambda-2325"] = properties(0, -1, None, "3/2")
names_baryons["Lambda-2350"] = properties(0, 1, None, "9/2")
# properties of deltas
names_baryons["Delta-1232"] = properties("3/2", 1, None, "3/2")
names_baryons["Delta-1600"] = properties("3/2", 1, None, "3/2")
names_baryons["Delta-1620"] = properties("3/2", -1, None, "1/2")
names_baryons["Delta-1700"] = properties("3/2", -1, None, "3/2")
names_baryons["Delta-1750"] = properties("3/2", 1, None, "1/2")
names_baryons["Delta-1900"] = properties("3/2", -1, None, "1/2")
names_baryons["Delta-1905"] = properties("3/2", 1, None, "5/2")
names_baryons["Delta-1910"] = properties("3/2", 1, None, "1/2")
names_baryons["Delta-1920"] = properties("3/2", 1, None, "3/2")
names_baryons["Delta-1930"] = properties("3/2", -1, None, "5/2")
names_baryons["Delta-1940"] = properties("3/2", -1, None, "3/2")
names_baryons["Delta-1950"] = properties("3/2", 1, None, "7/2")
names_baryons["Delta-2000"] = properties("3/2", 1, None, "5/2")
names_baryons["Delta-2150"] = properties("3/2", -1, None, "1/2")
names_baryons["Delta-2200"] = properties("3/2", -1, None, "7/2")
names_baryons["Delta-2300"] = properties("3/2", 1, None, "9/2")
names_baryons["Delta-2350"] = properties("3/2", -1, None, "5/2")
names_baryons["Delta-2390"] = properties("3/2", 1, None, "7/2")
names_baryons["Delta-2400"] = properties("3/2", -1, None, "9/2")
names_baryons["Delta-2420"] = properties("3/2", 1, None, "11/2")
names_baryons["Delta-2750"] = properties("3/2", -1, None, "13/2")
names_baryons["Delta-2950"] = properties("3/2", 1, None, "15/2")
# properties of xis
names_baryons["Xi-1530"] = properties("1/2", 1, None, "3/2")
names_baryons["Xi-1820"] = properties("1/2", -1, None, "3/2")
# properties of omega
names_baryons["Omega"] = properties(0, 1, None, "3/2")
# properties of sigma
names_baryons["Sigma"] = properties(1, 1, None, "1/2")
names_baryons["Sigma-1385"] = properties(1, 1, None, "3/2")
names_baryons["Sigma-1580"] = properties(1, -1, None, "3/2")
names_baryons["Sigma-1620"] = properties(1, -1, None, "1/2")
names_baryons["Sigma-1660"] = properties(1, 1, None, "1/2")
names_baryons["Sigma-1670"] = properties(1, -1, None, "3/2")
names_baryons["Sigma-1750"] = properties(1, -1, None, "1/2")
names_baryons["Sigma-1770"] = properties(1, 1, None, "1/2")
names_baryons["Sigma-1775"] = properties(1, -1, None, "5/2")
names_baryons["Sigma-1840"] = properties(1, 1, None, "3/2")
names_baryons["Sigma-1880"] = properties(1, 1, None, "1/2")
names_baryons["Sigma-1915"] = properties(1, 1, None, "5/2")
names_baryons["Sigma-1940"] = properties(1, -1, None, "3/2")
names_baryons["Sigma-2000"] = properties(1, -1, None, "1/2")
names_baryons["Sigma-2030"] = properties(1, 1, None, "7/2")
names_baryons["Sigma-2070"] = properties(1, 1, None, "5/2")
names_baryons["Sigma-2080"] = properties(1, 1, None, "3/2")
names_baryons["Sigma-2100"] = properties(1, -1, None, "7/2")
meson_reps = {"A1": (0, 4), "A2": (3, 6), "E": (2, 4, 5, 6), "T1": (1, 3, 4), "T2": (2, 3, 4, 5)}
reps_meson = {0: ["A1"], 4: ["A1"], 1: ["T1"], 2: ["E", "T2"], 3: ["T1", "T2", "A2"],
4: ["A1", "E", "T1", "T2"]}
baryon_reps = {"G1": ("1/2", "7/2"), "G2": ("5/2", "7/2"), "H": ("3/2", "5/2", "7/2")}
reps_baryon = {"1/2": ["G1"], "3/2": ["H"], "5/2": ["G2", "H"], "7/2": ["G1", "G2", "H"]}
parity = {-1: "u", 1: "g"}
gparity = {-1: "m", 1: "p"}
momentums = {0: "AR", 1: "OA", 2: "PD", 3: "CD", 4: "OA", 5: "PSQ5", 6: "PSQ6", 7: "PSQ7", 8: "PSQ8"}
def irrep_rest_particle(p):
if ismeson(p):
logging.info("particle is a meson, gchecking gparity")
if p.G:
return ["{}{}{}".format(rep, parity[p.P], gparity[p.G]) for rep in reps_meson[p.spin]]
else:
return ["{}{}".format(rep, parity[p.P]) for rep in reps_meson[p.spin]]
else:
logging.info("particle is a baryon")
return ["{}{}".format(rep, parity[p.P]) for rep in reps_baryon[p.spin]]
def getmomint(s):
return int(s.strip("PSQAB"))
def isbaryon(p):
return p.spin in reps_baryon.keys()
def ismeson(p):
return p.spin in reps_meson.keys()
def irrep_moving_particle(p, momentum):
mom = getmomint(momentum)
if mom < 1:
return irrep_rest_particle(p)
subs = []
if ismeson(p):
reps = reps_meson[p.spin]
if isbaryon(p):
reps = reps_baryon[p.spin]
for rep in reps:
subs.extend(subductions[(rep, parity[p.P], mom)])
if p.G:
return ["{}{}".format(movingrep, gparity[p.G]) for movingrep in subs]
else:
return ["{}".format(movingrep) for movingrep in subs]
def particle_name(name):
logging.debug("identifying {}".format(name))
basename = name.split("-")[0]
if basename in names.keys():
return names[basename]
elif basename in names_baryons.keys():
return names_baryons[name]
else:
logging.critical("I don't know understand the particle {}".format(basename))
raise NotImplementedError("Particle name unknown")
def operator_for_singlehadron(name, psqr):
logging.info("Translating {}".format(name))
operators = particle_operators.particleDatabase()
p1 = particle_name(name)
try:
irreps = irrep_moving_particle(p1, psqr)
except KeyError:
logging.critical("I don't know how to do subductions for this momenta")
raise NotImplementedError("Unsupported momenta")
ops = {}
for irrep in irreps:
op = operators.read_op(name, irrep, getmomint(psqr))
logging.info("particle1 %s in %s, primary operator is %s", name, irrep, op)
ops[irrep] = op
return ops
def translate_name_to_irrep(name):
logging.info("Translating {}".format(name))
name = name.replace("KB", "K")
operators = particle_operators.particleDatabase()
if "_" not in name:
logging.info("Is a single hadron?")
p1 = particle_name(name)
logging.info("particle %s at rest irreps: %s", name, " ".join(irrep_rest_particle(p1)))
raise ValueError("is a single hadron")
if name.count("_") > 5:
logging.info("Is a three or four hadron state?")
raise NotImplementedError("3 or more hadrons")
particle1, momentum1, particle2, momentum2, _, _ = name.split("_")
mom1 = getmomint(momentum1)
mom2 = getmomint(momentum2)
try:
p1 = particle_name(particle1)
p2 = particle_name(particle2)
except KeyError:
logging.critical("I don't know understand one of the particle names")
raise NotImplementedError("Particle name unknown")
logging.info("particle1 %s at rest irreps: %s", particle1, " ".join(irrep_rest_particle(p1)))
logging.info("particle2 %s at rest irreps: %s", particle2, " ".join(irrep_rest_particle(p2)))
iso = [i for i in name.split("_") if i.startswith("iso")][0]
try:
irreps1 = irrep_moving_particle(p1, momentum1)
irreps2 = irrep_moving_particle(p2, momentum2)
except KeyError:
logging.critical("I don't know how to do subductions for this momenta")
raise NotImplementedError("Unsupported momenta")
if mom1 > 0:
logging.info("particle1 %s moving irreps: %s", particle1,
" ".join(irreps1))
if mom2 > 0:
logging.info("particle2 %s moving irreps: %s", particle2,
" ".join(irreps2))
for i in irreps1:
for j in irreps2:
logging.info("operator file: {}_{}_{}_{}".format(momentums[mom1], i, momentums[mom2], j))
for irrep in irreps1:
op = operators.read_op(particle1, irrep, mom1)
logging.info("particle1 %s in %s, primary operator is %s", particle1, irrep, op)
for irrep in irreps2:
op = operators.read_op(particle2, irrep, mom2)
logging.info("particle2 %s in %s, primary operator is %s", particle2, irrep, op)
opset = []
for i in irreps1:
op1 = operators.read_op(particle1, i, mom1)
for j in irreps2:
op2 = operators.read_op(particle2, j, mom2)
opset.append(((p1, momentums[mom1], i, op1), (p2, momentums[mom2], j, op2)))
opfile = "{}_{}_{}_{}".format(momentums[mom1], i, momentums[mom2], j)
if op1 == op2:
logging.info("cat S\=0_{opfile}_* | grep -r {op1}.*{op2}".format(opfile=opfile, op1=op1, op2=op2))
else:
logging.info("cat S\=0_{opfile}_* | grep {op1} |grep {op2}".format(opfile=opfile, op1=op1, op2=op2))
#print "op1:", "p={}".format(mom1), i, op1, "op2:", "p={}".format(mom2), j, op2
return opset
if __name__ == "__main__":
parser = argparse.ArgumentParser(description="Determine lattice irreps from particle names")
parser.add_argument('name', metavar='expected_level', type=str,
help='expected level to determine irreps from')
parser.add_argument("-v", "--verbose", action="store_true",
help="increase output verbosity")
args = parser.parse_args()
if args.verbose:
logging.basicConfig(format='%(levelname)s: %(message)s', level=logging.DEBUG)
logging.debug("Verbose debugging mode activated")
else:
logging.basicConfig(format='%(levelname)s: %(message)s', level=logging.INFO)
translate_name_to_irrep(args.name)