SE CONSIDERA ENTRECRUZAMIENTO DIMENSIONAL PARA UN MODELO DE TIPO O(N) SOBRE UNA PELÍCULA DELGADA DE D DIMENSIONES, EN EL LÍMITE DEL MODELO , USANDO RENORMALIZACIÓN ”AMBIENTALMENTE AMIGABLE. SE MUESTRA COMO CALCULAR CAMBIOS DE LA TEMPERATURA CRÍTICA, DEBIDO AL EFECTO DE TAMAÑO FINITO, DANDO RESULTADOS EXPLÍCITOS A UN LAZO. ADEMÁS, SE OBTIENEN EXPRESIONES PARA LOS EXPONENTES CRÍTICOS EFECTIVOS ±E Y AE QUE INTERPOLAN ENTRE LOS VALORES CARACTERÍSTICOS DE PUNTO FIJO ASOCIADOS CON UN SISTEMA DE D Y (D1) DIMENSIONES EN LOS LÍMITES T ! TC(L), CON L(T TC(L))° ! 1, Y T ! TC(L) PARA L FIJO RESPECTIVAMENTE, DONDE TC(L) ES LA TEMPERATURA CRÍTICA DEL SISTEMA CONFINADO.AbstractWE CONSIDER DIMENSIONAL CROSSOVER FOR AN O(N) MODEL ON A D-DIMENSIONAL LAYERED GEOMETRY OF THICKNESS L, IN THE -MODEL LIMIT, USING ”ENVIRONMENTALLY FRIENDLY” RENORMALIZATION. WE SHOW HOW TO DERIVE CRITICAL TEMPERATURE SHIFTS, GIVING EXPLICIT RESULTS TO ONE LOOP. WE ALSO OBTAIN EXPRESSIONS FOR THE EFFECTIVE CRITICAL EXPONENTS ±E AND AE THAT INTERPOLATE BETWEEN THEIR CHARACTERISTIC FIXED POINT VALUES ASSOCIATED WITH A D AND (D 1)-DIMENSIONAL SYSTEM IN THE LIMITS T ! TC(L), WITH L(T TC(L))° ! 1, AND T ! TC(L) FOR L FIXED RESPECTIVELY, WHERE TC(L) IS THE L-DEPENDENT CRITICAL TEMPERATURE OF THE SYSTEM.WE CONSIDER DIMENSIONAL CROSSOVER FOR AN O(N) MODEL ON A D-DIMENSIONAL LAYERED GEOMETRY OF THICKNESS L, IN THE -MODEL LIMIT, USING ""ENVIRONMENTALLY FRIENDLY"" RENORMALIZATION. WE SHOW HOW TO DERIVE CRITICAL TEMPERATURE SHIFTS, GIVING EXPLICIT RESULTS TO ONE LOOP. WE ALSO OBTAIN EXPRESSIONS FOR THE EFFECTIVE CRITICAL EXPONENTS ±E AND AE THAT INTERPOLATE BETWEEN THEIR CHARACTERISTIC FIXED POINT VALUES ASSOCIATED WITH A D AND (D 1)-DIMENSIONAL SYSTEM IN THE LIMITS T ! TC(L), WITH L(T TC(L))° ! 1, AND T ! TC(L) FOR L FIXED RESPECTIVELY, WHERE TC(L) IS THE L-DEPENDENT CRITICAL TEMPERATURE OF THE SYSTEM.